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Q2 Differential Equation 10 Points Find the solution to the following differential equation satisfying y(0) =...
Q2 (10 points) 1. Solve the differential equation =-y given that y(0) = 10. 2. Solve...
Q2 (10 points) 1. Solve the differential equation =-y given that y(0) = 10. 2. Solve the differential equation given that y(0) = 10. 3. Which of the above equations is a linear differential equation? 4. Which of the above equations has solutions for all t > 0? Explain.
Please help me solve this differential Equation show all steps Find a continuous solution satisfying +y-f(x),...
Please help me solve this differential Equation
show all steps
Find a continuous solution satisfying +y-f(x), where f() Ji 10 { 0<r<1 > 1 and y(0) -0.
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"-...
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
(1 point) Find the function satisfying the differential equation 6er and y(0) = 4 (1 point)...
(1 point) Find the function satisfying the differential equation 6er and y(0) = 4 (1 point) Solve the following initial value problem: dy +(0.9) y = 3t with y(0) = 8. (Find y as a function of t.) y =
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possi...
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
1. Find the particular solution of the differential equation dydx+ycos(x)=2cos(x)dydx+ycos(x)=2cos(x) satisfying the initial condition y(0)=4y(0)=4. 2. Solve...
1. Find the particular solution of the differential
equation
dydx+ycos(x)=2cos(x)dydx+ycos(x)=2cos(x)
satisfying the initial condition y(0)=4y(0)=4.
2. Solve the following initial value problem:
8dydt+y=32t8dydt+y=32t
with y(0)=6.y(0)=6.
(1 point) Find the particular solution of the differential equation dy + y cos(x) = 2 cos(z) satisfying the initial condition y(0) = 4. Answer: y= 2+2e^(-sin(x)) Your answer should be a function of x. (1 point) Solve the following initial value problem: dy ty 8 at +y= 32t with y(0) = 6. (Find y as...
Use Mathlab to determine the solution of the following differential equation satisfying the given initial conditions....
Use Mathlab to determine the solution of the following differential equation satisfying the given initial conditions. (d^2y/dx^2)-4y=5 y(0)=0, y'(0)=1
2. (20 points) Find the solution y (t) of the following differential equation: -{ 0t< 4...
2. (20 points) Find the solution y (t) of the following differential equation: -{ 0t< 4 0 y"9y (t) y(0) = 1, /(0) = 0, t 4 3
a. Find a particular solution to the nonhomogeneous differential equation y" + 4y = cos(2x) + sin(2x)
a. Find a particular solution to the nonhomogeneous differential equation y" + 4y = cos(2x) + sin(2x) b. Find the most general solution to the associated homogeneous differential equation. Use cand in your answer to denote arbitrary constants. c. Find the solution to the original nonhomogeneous differential equation satisfying the initial conditions y(0) = 8 and y'(0) = 4
Q1 (10 points) Consider the differential equation ty" _ y = 0. a) is this differential...
Q1 (10 points) Consider the differential equation ty" _ y = 0. a) is this differential equation linear? What is its order? Is it homogeneous? b) Try a solution of the form y=x". Is this a solution for some r? If so, find all such r. c) Based on your answer to a) about linearity and b) about what y=x" are solutions, make an educated guess a the general solution looks like. Try that guess and check that it works....
Q2 (10 points) 1. Solve the differential equation =-y given that y(0) = 10. 2. Solve the differential equation given that y(0) = 10. 3. Which of the above equations is a linear differential equation? 4. Which of the above equations has solutions for all t > 0? Explain.
Please help me solve this differential Equation
show all steps
Find a continuous solution satisfying +y-f(x), where f() Ji 10 { 0<r<1 > 1 and y(0) -0.
6. [0/2 points) DETAILS PREVIOUS ANSWERS Find the general (real) solution of the differential equation: y"- 2y'- 15y=-51 sin(3 x) -3x | Ae 5x + Be 34 y(x) = 8.5 + -cos(3x) * 17 51 14 sin(3x) - - Find the unique solution that satisfies the initial conditions: Y(0) = 2.5 and y'(o)=37 y(x) = 7. [-12 Points) DETAILS Find the general (real) solution of the differential equation: y" + 4y' + 4y=64 cos(2x) y(x) = Find the unique solution...
(1 point) Find the function satisfying the differential equation 6er and y(0) = 4 (1 point) Solve the following initial value problem: dy +(0.9) y = 3t with y(0) = 8. (Find y as a function of t.) y =
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
3. Draw the direction field of the following differential equation: = (1-y)y dt What happens for the solution satisfying y(0)-2, 1, 0.5,-1 as t-> oo? If y(2)-β and limt→oo y(t) = 1. Find all possible values of β.
1. Find the particular solution of the differential
equation
dydx+ycos(x)=2cos(x)dydx+ycos(x)=2cos(x)
satisfying the initial condition y(0)=4y(0)=4.
2. Solve the following initial value problem:
8dydt+y=32t8dydt+y=32t
with y(0)=6.y(0)=6.
(1 point) Find the particular solution of the differential equation dy + y cos(x) = 2 cos(z) satisfying the initial condition y(0) = 4. Answer: y= 2+2e^(-sin(x)) Your answer should be a function of x. (1 point) Solve the following initial value problem: dy ty 8 at +y= 32t with y(0) = 6. (Find y as...
2. (20 points) Find the solution y (t) of the following differential equation: -{ 0t< 4 0 y"9y (t) y(0) = 1, /(0) = 0, t 4 3
Q1 (10 points) Consider the differential equation ty" _ y = 0. a) is this differential equation linear? What is its order? Is it homogeneous? b) Try a solution of the form y=x". Is this a solution for some r? If so, find all such r. c) Based on your answer to a) about linearity and b) about what y=x" are solutions, make an educated guess a the general solution looks like. Try that guess and check that it works....
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