b) dx + x(inx-in y-1)dy=0 il show is homogeneous (₁) use particular solution given y(i)=e.

Q: 4) (e* + y)dx+ (2y + x)dy = 0 %3D

A: Hence, the general solution is                                            y=-x±x2-4(ex-C)2 Where C…

Q: yd the geroral solution uf y3y'+2y= 4&=2xe

A:

Q: y" + 2y' + y = e* lnx (where x > 0)

A:

Q: dy = y2-y that passes through the indicated points. dx Find a solution of x (a) (0, 1) y = (b) (0,0)…

A: The solution is given in the next steps.

Q: Let y1, Y2 be two independent solutions of (t – 1)y" – ty' +y = 0. If W(y1, Y2)(2) = e² , then W…

A:

Q: 2) (x² – 1)y' + 2y = (x + 1)²

A: Solve the following

Q: y" (t) + 2y' + y(t) = 8t²e-t.

A:

Q: Find general solution of " – y – 2y = e2t

A:

Q: y4) + 2y" + y = 0

A:

Q: Find the solution of the D.E. xydx - (x2 + 3y?) dy = 0 Show your solutions on a separate sheet of…

A: Given differential equation is xydx - (x2 + 3y2)dy = 0

Q: Find the solution of y" – 2y' + y = 36 et with y(0) 6 and y' (0) = 5.

A: Given

Q: +4x 6) y' = Ans.: y-x =e +C. 3y - 2xye"

A: According to the guidelines in case of multiple questions we are only allowed to do first question,…

Q: Use variation of parameters to find the particular solution to 3t y'' + 5y + 4y = 2e Y(t)=| Preview

A:

Q: L. Let h (x) = f (x) g (x). Find a. h' (1), b. h' (3), and с. h' (4).

A: According to the given information,

Q: Find general solution of y" – 2y' + y = , By Variation of t2+1' parameter method.

A:

Q: а. у' +3у%38, у(0) %3D4 b. 1 xdx+dy= 0, y(0)=8 y c. senxdx+ ydy=0 y(0)= -2 d. y' +2xy2 = 0, y(0) = 3

A: y = -srqt(2+2cosx) is a solution of:

Q: y" + 4y' = 3sin2t + tcos2t %3D

A: The solution for the above question is as shown below.

Q: Let y1, Y2 be two independent solutions of t?y" – 2y' + (t + 3)y = 0. %3D If w(y1, y2)(2) = 3, then…

A:

Q: 8. x(x² + 1)y' + 2y = (x² + 1)³

A: Given problem:- xx2+1y'+2y=x2+13

Q: 1 Find the points of discontinuity of y = where и +и - 2 1 u = * - 1

A:

Q: BCSolve y" + 2y' + 2y = 8(t – n) with y(0) = y'(0) = 0 6.

A: Given differential equation is y''+2y'+2y=δ(t-π)    (1) with boundary condition y(0)=y'(0)=0  Let…

Q: x²dy + (y² + 3xy + 4x²) dx = 0 when x = 2, y = 1

A: To obtain general and particular solution satisfying initial condition indicated byusing homogenous…

Q: 1 Pdx + Pdy = 0, y(-1) = 2. (y-20) dy = 0, y(-1) = 2. %3D ry²

A:

Q: – 5x*) dx

A:

Q: -(v/y)- o None of the above () ferentia uation y"+y' = 1? What is the general solution of the dif-…

A: given differential equation :-             y''' + y' = 1