dy x+y Solve the particular solution, da y(1) = 1

Q: Solve : t -4t y"+2y - Sydt e s(t-3) yco) = 0 y'co) = 0 %3D

A:

Q: Solve the Bernoulli equation y' + xy = y4.

A:

Q: x2 + y? – 5 dy Solve the given initial value problem. dx y(1) = –1 y + 2xy

A:

Q: dy 2y - 3x°y* . 4. Solve the nonlinear Bernoulli equation: . dx %3D

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Solve the initial value problem. dy y = 5x ex, dx X The solution is y(x) = y(1)=5e-3

A:

Q: Solve the initial value problem. √y dx + (x-6)dy = 0, y(7) = 16 The solution is (Type an implicit…

A:

Q: (a) Solve the initial value problem X'(t) : -2 1 X(t), X(0) = (Ь) Describe the behavior of the…

A:

Q: (h) The solution of the initial problem y' = y², y(0) 1/2 is valid for -0 <t < ∞.

A: False

Q: Solve the initial value problem y" + 5y – 36y = 0, y(0) = a, y'(0) = -54. Find a so that the…

A:

Q: x+y-4) dx-(3x-y-4)dy=0; when x=4, y=1 Solve using Coefficient linear in the two variables

A: ( x+y -4)dx-(3x-y-4) dy = 0 , x=4                                                               y…

Q: a) Solve the initial value problem y + y = e", y(0) = 1, %3D where r E R.

A: y'+y=ex, y(0)=1y'+P(x)y=Q(x)Here,P(x)=1Q(x)=exIntegrating factorμ(x)=e∫P(x)dx       =e∫1dx       =ex

Q: y' + 2y = e . Find the value of c for which the solution satisfies the initial condition y( - 2) =…

A:

Q: Solve the initial value problem. y dy dx = 9x ex, X The solution is y(x) = 9x ex - 5x. y(1)=9e-5

A:

Q: Solve the initial value problem. d?y = 3 e -X, y(0) = 1, y'(0) = 4 dx2 y =

A:

Q: Solve the initial value problem y" - 5y' - 36y = 0, y(0) = a, y'(0) = 8. Find a so that the solution…

A:

Q: Solve the initial value problem y"+y' - 56y = 0, y(0) = a, y′(0) = 48. Find a so that the solution…

A: Solve the given differential equation as following:-

Q: dw 4w A) Give the general solution of dx = x³. B) Solve y' + = y²x³.

A:

Q: dy Solve the initial value problem: = 4x(x² + 8),y(0) = 0 dx

A:

Q: Solve the initial value problem y" + 4y′ − 32y = 0, y(0) = a, y′(0) = -80. Find a so that the…

A: We can solve this as follows:

Q: Solve the initial value problem y" - 5y' - 14y = 0, y(0) = a, y'(0) = 6. Find a so that the solution…

A:

Q: Q-1:B: Solve the initial value problem d?y + 4y = 8x2 ,y(0) = -3,y'(0) = 0 %3D %3D dx2

A:

Q: he Solve the (D+D+1)y(x) = xe equation er y,(x)= (x -1)e* - (x-1

A: Differential equation

Q: Solve the initial value problem y" +y – 20y = 0, y(0) = a, y'(0) = -50. Find a so that the solution…

A: Given that  y"+y'-20y=0 To find the value of alfa

Q: Solve the initial value problem y" - 3y' - 54y = 0, y(0) = a, y'(0) = 60. Find a so that the…

A:

Q: xy' + y = e", y(1) = 2 %3D

A:

Q: Solve the initial value problem. √y dx + (x-9)dy = 0, y(10) = 49 The solution is (Type an implicit…

A:

Q: Solve the initial value problem. dy + x, x > 0; y(2) = 0 dx y = 2x2 x² 9 O y= Answer 15 y = - 2x2…

A: We have to find

Q: Solve the initial value problem y" — y' — 12y = 0, y(0) = a, y′(0) = 15. - Find a so that the…

A: We need to solve the initial value problem and also need to find out the value of a.

Q: Solve the initial value problem. d?y = 10 - 24x, y'(0) = 7, and y(0) = 5 dx2

A: Given d2ydx2=10-24x, y(0)=5 and y'(0)=7

Q: Find the solution of the initial-value problem dy + 32?y = x², y(0) = 2. dx

A:

Q: Solve the initial value problem. Y + 7y -3e -6x = 0, dx ► 7y – 3 e - 6x = 0, y(0) = 6 The solution…

A: compare this DE with  so here we have

Q: Solve the initial value problem " + y' – 56y = 0, y(0) = a, y'(0) = –56. Find a so that the solution…

A:

Q: dy 3y - 3x' y. 4. Solve the nonlinear Bernoulli cquation: dx

A:

Q: (x - 2y)dx + (2x +y + 5)dy = 0 identify if the case of the DE etermine its general solution. a. b.

A:

Q: Solve the given initial-value problem. (x + y)? dx + (2xy + x2 – 8) dy = 0, y(1) = 1 (x +y)³ – 24y =…

A:

Q: Solve the initial value problem y" + 3y - 28y = 0, y(0) = a, y'(0) = 14. Find a so that the solution…

A:

Q: Solve the initial value problem. a. xy' =y+ x²sinx, y( 7) =0

A:

Q: Solve the initial value problem y" - 2y' — 8y = 0, y(0) = a, y′(0) = −6. Find a so that the solution…

A:

Q: Solve the initial value problem. d²y = 2 e -X, y(0) = 0, y'(0) = 4 dx

A: ∫ d2ydx2 =∫ 2 e-x dxdydx=2e-x(-1)+Bdydx=-2e-x+B ...(1)

Q: Solve the initial value problem. dy +2y-4e¯X = 0, dx The solution is y(x) = y(0) = 2

A: Given differential equation is in the form of linear differential equation . So we will use…

Q: dy To solve a first order linear equation + P(x)y=Q(x), one can multiply both sides by dx dy 1 an…

A: # we are entitled to solve one question at a time, please resubmit the other question if you wish to…

Q: Solve the initial value problem dy d x e**y sin cex -4), y(ın 4)= -) こ

A:

Q: dy Solve the initial value problem = e*, y(4) = 8. dx

A: The integral of ex is itself. that means,  ∫exdx = ex+C C is integration constatnt.

Q: Solve the initial value problem y" + 2y'-24y = 0, y(0) = a, y (0) = 42. Find a so that the solution…

A:

Q: (2xy-ey)dx + (x2-xey)dy = 0 Find the general solution of this differantial equation.

A: (2xy-ey)dx + (x2-xey)dy = 0…

Q: Solve the initial value problem r+(y-2x) = 0, y(0) = 1. dz

A:

Q: Solve the initial value problem y" + 4y' — 12y = 0, y(0) = a, y'(0) = 60. Find a so that the…

A:

Q: Solve the diffedential equation 2 e ys + y de ]dy-o

A: