3x2 dx x3 - 8(у + 1) %3D 0 y+1 dy

Q: Identify the type of the equation dy dx and solve it.

A: Solution

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

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Q: d³y --13 + 6y = 0 4 dx3 dx

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Q: 375 sin (60+ A) 393.187 Sin 75 375 sin (75)= 393.187 sin (60+A) sin(75)

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

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Q: 1+x dx V1-x

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Q: y(4) co +2y"+5y" = t +e s(2t) +t cos (3t)+te' s(3t)+te'

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

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Q: eУ + 2ху'- у %3D0

A: Given equation is, ey'+2xy'-y=0y=ey'+2xy'...1 Multiplying by y in equation (1), we get…

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: 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

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

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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: x2- 1 -1Sx<0 1- If f(x) 1 x=0 is it continuous at x=0 %3D 2х 0<x<1

A: Here the given function is  f(x)=x2-1if -1≤x&lt;01if x=02xif 0&lt;x≤1 We need to find weather the…

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: (y² + xy) dx-x² dy = 0, when x = 1, y = 1

A: Given that the equation y2+xydx-x2dy=0. Find the particular solution of the given equation when…

Q: Solve the differential equation using Method of Undetermined Coefficients and by Inspection. (D³ +…

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Q: 6y' = y*sinx У (0) — 1

A: