Find the general solution of the following differential equations. 1. (D3 + 3D2 – 4D – 12)y = 0

Q: Q1- Find the solution of the following differential equation d?y dy + 2 +y = 0 dx2 4x dx

A: To find the solution

Q: 1. 3x²y²dx + ( 2x³y + x ³y 4) dy =0, when x=2, Y= 3

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Q: Q2: Find the general solution of the differential equation dy dx || x - 2y 3y - 4x

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Q: dy x + y+3 Solve the non-homogeneous differential equation da 2x + 2y + 7

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Q: Find the solution of the given differential equation. (2x2t – 2x3) dt + (4.x3 – 6x²t + 2xt² ) dx = 0…

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Q: Convert the given i-system to an e-system using slack variables. Then construct a table of all basic…

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Q: Determine the Maclaurin Series of sinx. a. Values of ?(?)0 and its derivatives up to sixth…

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Q: 2(2x? + y²)dx – xydy = 0

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Q: H.. Ext (x-1)dx +xdy=0 Ex² ( 2 √xy_y) dx-xdy=. 3 EX 2 27 2x² dy = x² + y² ax ५ +₁ Exh x dy-y dx Find…

A: As per our guidelines we are supposed to answer only first part. Kindly repost other parts in the…

Q: 3. (Dª + 3D³ – 6D² – 28D – 24)y = 0 -

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Q: dy = (4x + y+1)? [Hint. Put 4x + y +1 = z] Ans. tan - 4x + y+1 2 2x+C d x

A: Variable separable form: Let us consider differential equation: dydx=f(x)g(y) g(y)dy=f(x)dx…

Q: Find the general solution to the differential equation shown below. y" – 6y + 9y = 5e3t – 6et -

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