Very confused on what the method would even be for this other than just randomly guessing.
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Very confused on what the method would even be for
this other than just randomly guessing....
both please 1. Use the method of separation of variables find the general (explicit) solution to...
both please
1. Use the method of separation of variables find the general (explicit) solution to the differential equation = xcscy dy 2. Find the general solution to the first-order linear differential equation dy ex x + 2y = dx X by finding an appropriate integrating factor. (No credit for any other method). Give an explicit solution. 0
3. Consider the differential equation dy 2x2y dx 0, y 1 In the following questions work...
3. Consider the differential equation dy 2x2y dx 0, y 1 In the following questions work to 4 decimal places with the initial conditions x = throughout and give your answer to 3 decimal places, or use exact fractions (a) Use the Euler method to calculate an estimate of the value of y after four steps of length h 0.5 [4 marks] (b) Use the Modified Euler method to calculate an estimate of the value of y after two steps...
Hi I am confused by this problem. Any help would be greatly appreciated! Thanks! A large...
Hi I am confused by this problem. Any help would be greatly
appreciated! Thanks!
A large building shapped like a box is 45 m high with a face that is 90 m wide. A strong wind blows directly at the face of the building, exerting a pressure of 110 N/m at the ground and increasing with height according to P(y) 110 + 2y , where y is the height above the ground. Calculate the total force on the building, which...
dont ans this question Euler's method is based on the fact that the tangent line gives...
dont ans this question
Euler's method is based on the fact that the tangent line gives a good local approximation for the function. But why restrict ourselves to linear approximants when higher degree polynomial approximants are available? For example, we can use the Taylor polynomial of degree about = No, which is defined by P.(x) = y(x) + y (xo)(x – Xa) + 21 (x- This polynomial is the nth partial sum of the Taylor series representation (te) (x –...
WE L L. ew 2 0VISUWURSU3121/WW.Apter Section 8//usersmisegaye BellectiveUseramtegekey=MUORAJM69GZ29FnHyxZR794HHcym (1 point) Euler's method for a first...
WE L L. ew 2 0VISUWURSU3121/WW.Apter Section 8//usersmisegaye BellectiveUseramtegekey=MUORAJM69GZ29FnHyxZR794HHcym (1 point) Euler's method for a first order IVPy a ,), V(o) is the the following algorithm. From (0.10) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have In=In-1 +h, Wen-1th fan-1,-1). In this exercise we consider the IVP y = 1+ y with y(0) 2. This equation is first order with exact solution y tan(+ tan (2)). Use...
Bifurcation dy Consider the autonomous differential equation =y? - 2y + 8. We will begin by...
Bifurcation dy Consider the autonomous differential equation =y? - 2y + 8. We will begin by examining dt the equilibrium solutions of the equation for various values of the parameter 8 1. Find the equilibrium solutions of the equation for 8 = -4,-2, 0, 2, 4 and make a sketch of the phase line for each value. Determine the stability of each equilibria. 2. Use a computer or some other means to sketch some solution curves for each value of...
1) What is a term in an algebraic expression or equation? In other words, how would...
1) What is a term in an algebraic expression or equation? In other words, how would you distinguish a term of an expression from something else (e.g., a factor)? 2) What does a monomial look like? And, what is a polynomial? Is it true that a monomial is just a single term of a polynomial? 3) What is a factor of a polynomial? Can you define it using the notion of a term or monomial of a polynomial? 4) What...
(1 рon Euler's method for a first order MP y-f(x.y), y(xa) - y s the the...
(1 рon Euler's method for a first order MP y-f(x.y), y(xa) - y s the the folowing algorithm. From (x.yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have x h y,- -+h f(x1--1) In this exercise we consider the NPy--x+ywith y(2) 2. This equation is first order inear with exact solution y 1 4 x- Use Euler's method with h-0.1 to approximate the solution of the diferential...
Please help me do both problems if you can, this is due tonight and this is...
Please help me do both problems if you can, this is due tonight
and this is my last question for this subscription period. (Thank
you)
Euler's method for a first order IVP y = f(x,y), y(x) = yo is the the following algorithm. From (20, yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have In = {n-1 +h, Yn = Yn-1 +h. f(xn-1, Yn-1). In this exercise...
1 to 6 Remember- if f is an even function, f(-x) f (x). An even Fourier...
1 to 6
Remember- if f is an even function, f(-x) f (x). An even Fourier series, has only cosine terms and is used to approximate an even function, which we will denote it by: F(x)-a+a, cos(x) +a, cos(2x)+a, cos(3x) +.. Given an even function,f, on the interval [-π , we want to find the function Fe(x) so that f(x) This means that f(x) = ao + a, cos(x) +a2 cos(2x) +a, cos (3x)+ and, therefore, -F(x). jf(x)dr-fata, cos(x)+a,cos(2x)+a,cos(3x)+ dr....
both please
1. Use the method of separation of variables find the general (explicit) solution to the differential equation = xcscy dy 2. Find the general solution to the first-order linear differential equation dy ex x + 2y = dx X by finding an appropriate integrating factor. (No credit for any other method). Give an explicit solution. 0
3. Consider the differential equation dy 2x2y dx 0, y 1 In the following questions work to 4 decimal places with the initial conditions x = throughout and give your answer to 3 decimal places, or use exact fractions (a) Use the Euler method to calculate an estimate of the value of y after four steps of length h 0.5 [4 marks] (b) Use the Modified Euler method to calculate an estimate of the value of y after two steps...
Hi I am confused by this problem. Any help would be greatly
appreciated! Thanks!
A large building shapped like a box is 45 m high with a face that is 90 m wide. A strong wind blows directly at the face of the building, exerting a pressure of 110 N/m at the ground and increasing with height according to P(y) 110 + 2y , where y is the height above the ground. Calculate the total force on the building, which...
dont ans this question
Euler's method is based on the fact that the tangent line gives a good local approximation for the function. But why restrict ourselves to linear approximants when higher degree polynomial approximants are available? For example, we can use the Taylor polynomial of degree about = No, which is defined by P.(x) = y(x) + y (xo)(x – Xa) + 21 (x- This polynomial is the nth partial sum of the Taylor series representation (te) (x –...
WE L L. ew 2 0VISUWURSU3121/WW.Apter Section 8//usersmisegaye BellectiveUseramtegekey=MUORAJM69GZ29FnHyxZR794HHcym (1 point) Euler's method for a first order IVPy a ,), V(o) is the the following algorithm. From (0.10) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have In=In-1 +h, Wen-1th fan-1,-1). In this exercise we consider the IVP y = 1+ y with y(0) 2. This equation is first order with exact solution y tan(+ tan (2)). Use...
Bifurcation dy Consider the autonomous differential equation =y? - 2y + 8. We will begin by examining dt the equilibrium solutions of the equation for various values of the parameter 8 1. Find the equilibrium solutions of the equation for 8 = -4,-2, 0, 2, 4 and make a sketch of the phase line for each value. Determine the stability of each equilibria. 2. Use a computer or some other means to sketch some solution curves for each value of...
1) What is a term in an algebraic expression or equation? In other words, how would you distinguish a term of an expression from something else (e.g., a factor)? 2) What does a monomial look like? And, what is a polynomial? Is it true that a monomial is just a single term of a polynomial? 3) What is a factor of a polynomial? Can you define it using the notion of a term or monomial of a polynomial? 4) What...
(1 рon Euler's method for a first order MP y-f(x.y), y(xa) - y s the the folowing algorithm. From (x.yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have x h y,- -+h f(x1--1) In this exercise we consider the NPy--x+ywith y(2) 2. This equation is first order inear with exact solution y 1 4 x- Use Euler's method with h-0.1 to approximate the solution of the diferential...
Please help me do both problems if you can, this is due tonight
and this is my last question for this subscription period. (Thank
you)
Euler's method for a first order IVP y = f(x,y), y(x) = yo is the the following algorithm. From (20, yo) we define a sequence of approximations to the solution of the differential equation so that at the nth stage, we have In = {n-1 +h, Yn = Yn-1 +h. f(xn-1, Yn-1). In this exercise...
1 to 6
Remember- if f is an even function, f(-x) f (x). An even Fourier series, has only cosine terms and is used to approximate an even function, which we will denote it by: F(x)-a+a, cos(x) +a, cos(2x)+a, cos(3x) +.. Given an even function,f, on the interval [-π , we want to find the function Fe(x) so that f(x) This means that f(x) = ao + a, cos(x) +a2 cos(2x) +a, cos (3x)+ and, therefore, -F(x). jf(x)dr-fata, cos(x)+a,cos(2x)+a,cos(3x)+ dr....
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