9. (2y? + 2y + 4x²) dx + (2xy + x) dy = 0; when x = -1 and y = 0

Q: a. (r? + 4)3/2dy + (y/y? – 4 )dx = 0 dy b.- Vx In 2x' y2 In y dx c. 4/1- y? dx – r-³dy = 0; when x =…

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Q: (1 + 4xy – 4x²y)dx + (x² – x³ )dy = 0; when x 2, y == у %3D - %3D %3D

A: Given: 1+4xy-4x2ydx+x2-x3dy=0 when x=2 y=14

Q: Find the particular solution by means of integration factor method if: (x* +1) +3x(y-1)=0 where y(1)…

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Q: Find the general solution by means of separation of variables if: dy = xy -x dx

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Q: 1. 7ху' — 2у + () —о 2. у' 3D y sec х; 3. у(3x3 — х +у)dx + x?(1 — х?)dy — 0 4. у(2х — у + 1)dx +…

A: according to our guidelines we can answer only first question and rest can be reposted.

Q: Solve the separable differential equation = VPt, P(1) = 2.

A: Dear student as per our rule in one session we can only solve one question. Please post the other…

Q: 4) (D² + 4) y = sin 2x

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Q: 2) (D³ - 4D² + 4D - 16) y = 6 - 24x + 12x? - 16x³

A: Given: D3-4D2+4D-16y=6-24x+12x2-16x3

Q: y""-2y" +5y +26y=0, %3D y(0) = 0, y' (0) =1, y" (0) = 1

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Q: Solve the following differential equations properly. 2. (2x2 +3v3)dx- (x3+ 2xy2)dy = 0

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Q: Elimination of Arbitrary Constant: y= Ax² + Bx+C,A and B are constant, C is a parameter

A: Given equation is y=Ax2+Bx+C, where A and B are constant, C is a parameter. We have to eliminate the…