Solve the following problems with part b's question.
Solve the following problems with part b's question. da 4.2 dr da d.r (b) Find the solution of this equation satisfying y(2) = 0, You may leave vour answer in an implicit form da 4.2 dr da...
For each of the following, solve the differential equation. Unless otherwise noted, you may leave it as an implicit solution. (1) + y cos(2t) = 0. (2) = V1 -21 (3) * = (4) (a) As a bonus problem, for (4), what geometric objects do the graphs of the solutions form?
[H] Consider the differential equation dx 1+x2 (H.1) Find the general solution of the above differential equation. You may leave your answer in implicit form for this part. (H.2) Find the particular solution of the above differential equation satisfying y(0) = - Write your answer in EXPLICIT form [i.e. y = f(x)].
5. Find the solution of the differential equation that satisfies the given initial condition dy cos' xsin dx ysin y Yo) - 1. Leave the answer in the implici form. ,y(o)- 1. Leave the answer in the implicit form. 5. Find the solution of the differential equation that satisfies the given initial condition dy cos' xsin dx ysin y Yo) - 1. Leave the answer in the implici form. ,y(o)- 1. Leave the answer in the implicit form.
dy (1 point) Solve the differential equation -- = 25 a. Find an implicit solution and put your answer in the following form: constant. help (formulas) D. Find the equation of the solution through the point (x,y) = (5, 1). help (equations) C. Find the equation of the solution through the point (x,y) = (0,-4). Your answer should be of the form y = f(x). help (equations)
: Solve the following differential equation eigenvalue problems. a y'' + λy = 0; y(0) = 0; y(4) = 0 b y''+ λy = 0; y(0) = 0; y' (1) − 2y(1) = 0 In problem [a] you may assume that there are no eigenvalues for λ ≤ 0. In problem [b] you will not be able to find the exact eigenvalues. You should find a condition on the eigenvalues of the form f(µ) = 0 where µ 2 =...
Please teach me in detail! 5. Solve the following by hand. You may use any method we learned in class. Guess and check is not a valid method. Show your work. Find the general or specific solution, as the problem requires. You may leave the answer in implicit form if it is easier/more convenient. (for example, y2 + x2 = 1 is better than y = V1 - x2) (a) . y 1 + x2y2 + dy 1 + x2y2...
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...
Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the form F(x,y) C is C, where C is an arbitrary constant, and (Type an expression using x and y as the variables.) Find an integrating factor of the form x"y" and solve the equation. (2x y-9y)dx + (4y -9x)dy 0 by multiplying by the integrating factor. An implicit solution in the...
In this question, we ask you to solve the differential equation dy (3x-6)2-(2y-s) dx satisfying the initial condition 4.1 (1 mark) Hopefully, you have observed that the d.e. is separable. Thus, as a first step you need to rearrange the d.c. in the form for appropriate functions fy) and g(x) Enter such an equation, below y) dy-g(x) dx Note. The differentials dx and dy are simply entered as dx and dy, respectively separated d.e You have not attempted this yet...
Can you help answers for B & C in a linear equation ??? iat) Solve the differential equation dx 16y a. Find an implicit solution and put your answer in the following form: 8yn2-xA2/2 - constant. help (formulas) b. Find the equation of the solution through the point (x, y)-(4, 1). y sqrt(4xA2) help (equations) C. Find the equation of the solution through the point (x, y) = (0,-4). Your answer should be of the form y = f(x). help...