Solve the following simultaneous Differential equation * dy + 5x + 3y = 0 dt dx 3x + 2y, dt -

Q: SOLVE THE FOLLOWING HOMOGENOUS LINEAR DIFFERENTIAL EQUATIONS. (D^6 + 8D^4 + 16D^2)y = 0

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Q: 25уп — 20у/ + 4у 3D0

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Q: dy _ x²+xy dx x²+y?

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Q: (x²+y)dx + dy 0

A: This linear differential equation

Q: Solve this differential equation y (x^3-y)⁡ dx-x(x^3+y) dy=0; when x=2,y=2

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Q: y(x^2 y^2 - m)dx + x(x^2 y^2 + n) dy = 0

A: yx2y2-mdx+xx2y2+ndy=0Let M=yx2y2-m∂M∂y=y·2x2y+x2y2-m        =3x2y2-mLet N=xx2y2+n∂N∂x=3x2y2+nNow,…

Q: 3 dw + xy + w = k dx2 2 +s + 2st = 0 dx (尚) ds dt dt y" – 5x(y')2 = e* + 1

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Q: Solve for the particular solution of the differential equation: d?y/dx2 - 16y = ex O v = xe^4x/8 O…

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Q: d²x 7x + 3- dt2 dt 2- - t dx

A: 7x+3d2xdt2=2dtdx-t Multiplying both sides by dxdt , we get 7xdxdt+3d2xdt2dxdt=2-tdxdt              1

Q: L" + 2x" – x' – 2x = et Write the equation as a 1st order linear differential equation system and…

A: Given equation is  x'''+2x''-x'-2x=e3t                                                (i) Let…

Q: Solve the IVP dx 2 dt x(0) = 5 -21 ₁ 2 [] 6 Give your solution in real form. x1 = X2

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Q: 3ysinxdx/dy-2xycosx=0, Find exact differential equations

A: Given  3ysinxdx/dy-2xycosx=0