Find the exact solution.

Q: (ey – y cos xy)dx + (2xey – x cos xy + 2y)dy = 0

A:

Q: (x + y) dx + (3x + 3y - 4) dy = 0

A: given differential equation  x+ydx+3x+3y-4dy=0 solution let y+x=u differentiate dy=du-dx…

Q: d³y --13 + 6y = 0 4 dx3 dx

A:

Q: dy 3x-5y+13 5x-y+7 #1) dx

A:

Q: G- tanx) ydx + Inlexy cos x| dy = 0

A:

Q: Solve (2Dy + 5)²z = 0

A: We can solve this problem by method of ordinary differential equation

Q: 5. (x + 2y + 3) dx + (3x + 9y − 5) dy = 0

A:

Q: (siny – 2ye*sinx)dx +(cosy + 2e*cosx)dy = 0

A: Given differential equation (sin y -2ye-x sinx ) dx+ (cosy+2e-x cos x ) dy=0

Q: (5) 2 + y² X +2yy = 0, y(1) = 0

A: given

Q: 2x dy + y(2 + y²x) dx = 0

A: The given differential equation is

Q: Q7// find the general solution 1 (sin-ix + =y)dx + sec-1xdy = 0 xVx² – 1

A:

Q: (2rw + w - ve"2)dv + vdw = 0

A:

Q: 3 U++ виху + 2 Иду - зих -3 Uly = то о 0

A: uxx+3uxy+2uyy-3ux-3uy=0

Q: d³y d²y 4. dx3 dx3 dx -dy + y = 0

A: Consider the given equation. d3ydx3−d2ydx2−dydx+y=0 Now, make the characteristic equation.…

Q: d²3 Find the particular solution of +16y=0 if given y(0) =1 and y'(0) = 0. +8 dx dx

A:

Q: Find the general solution: ydx- (е^у+2хy-2: А. ху^2-се^2у-2(у+1) е^у О В. ху^2-се^2у-(у+1) е^у О С.…

A: Given that: ydx=(ey+2xy-2x)dy

Q: (D³+ 7D² + 6D)y = 0

A: We have given (D3+7D2+6D)y=0.

Q: dy _ (y² +4)ln x 5. х. dx In(y + 4)"

A: Find the general solution

Q: blem 3.1 Determine the solution to this system of equa 2x - 4y = 10 x + 5y = 40

A: Topic - Linear equations in two variables We are given equations as 2x-4y=10 x+5y=40

Q: '+석

A:

Q: 6y' = y*sinx У (0) — 1

A:

Q: (D' +5D +3D-9)y = 0; when x = 0, y =-1, when x = 1, y = 0 and also as x→ 0, y = 0

A: