Determine the order and degree of the differential equation, 3x- + 5x² (4²y) ³ d4x 3 dy4 dx² OA. First order, fourth degree OB. Fourth order, first degree OC. second order, third degree O D. third order, second degree O E. None of the Choices - xy = 0

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Q: 4. What is the order, degree and linearity of In x = 0 dx,

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Q: y = 2x² is a solution for which differential equation? 2y y'=0 - xy-y=0 2y - y"=0 y' - xy" = 0

A: Given that ,  The solution of differential equation  y = 2x² , then find the differential…

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A: If m=n,  Then, m^2 = (m)(m)=(n)(n) = n^2 m^2=n^2

Q: Q2/ Solve the same problem using the variation of parameters. d²y dy +8- + 16 = 8e-2x dx? dx

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Q: 6) (D² – D – 6)y = 0; x = 0,y = 2,y' = 1 %3D %3D %3D

A: solution given in next step

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A: Given values: f(x) = x3-10x2+8x5-5x

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Q: A. Identify the order and degree of the following equations. Order d²y dx2 (dx + 2b dy +y = 0 2.

A: The question is about the order and degree of the differential equation.

Q: Find the transform of the given function of s. -10 F() - • 25 (A) 2 sin 5t sin St cos St There is no…

A: Transform of the given function of s is below: A.  F(t) =-2 sin 5t

Q: 5. Find the general solution for each of the following differial equations (a) 2- d²y dr² dy +5+ 3y…

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Q: [10 12 0] 2 2 4. Find the inverse of the matrix0 8 using the Gauss-Jordan method. 4

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Q: 5. Let f(x.y) = y'e*+y, the fayy is: (A) 2e", (B) 2e", (C) 2e

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Q: solve accurately

A: S1​ is a vector subspace of P3​ with dimension 2.S2​ is not a vector subspace of P3​ as it does not…

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Q: Q/A) Solve the differential equation ? dy + (cotx)y = sin³x dx

A: answer isy = -14sin2xcosx + 3cosecx8(x-12sin2x) + cexplanation is given in the below step