(y – sin? x) dx + sin x dy = 0 2

Q: Xoly-y dx-Jx.ye dxz0

A: Given:            xdy−ydx−x2+y2dx=0

Q: dy 2) x- - 1 = -2e-y 1 = dx

A:

Q: (d) Iny = C,e* + Cze* ;yy" - (y')² = y'Iny (e) y* = x'(3e* + C); %3D xy'+ y + x*y*e* = 0

A:

Q: 2) x – 1 = - 2e-y

A:

Q: (x4 + 2y)dx - xdy = 0

A:

Q: Find the linear differential equation that is satisfied by y=xe-xsin3x+2e-xcos3x.

A: Let's find linear differential equation.

Q: Feren Ea (x°+y) dy xy

A: Given differential equation is not homogeneous. See the attachment

Q: xydy - (y – 3x²) dx = 0

A:

Q: 2. [e2y ycos (xy)| dx + 2xe2y [2we?y xcos (xy) + 2y dy = 0 -

A: The solution is given as

Q: 2 sin²2t dx = cos x (1 + cos 2x) dt

A:

Q: 2uvdv + 2u?du – v²du = 0 %3D

A: Given that: 2uvdv+2u3du-v2du=0

Q: (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0

A: The given differential equation is

Q: 5r² (r + 4)³ (r+7) (r² +9)³ (²+2r +10)² = 0

A: Find the general solution of an ordinary differential equation whose auxiliary equation is:

Q: 12. Given the following function 2 x +0 f(x) = x2 a. Given 0 < f'(x), determine its condition. b.…

A:

Q: y – 2)dx + (3x – y)dy = 0

A:

Q: Find the homogeneous differential equation achieved by the function Y = 2 e*sin (3x)

A: