Find the general solution of the differential equations below d²y dy - 3-+7y=0 dx dx2 3 19 A y=e 2 (A cos 19 +B sin B y=e" (A cos(19x) +B sin (V19x) COS 3 19 x+B sin 19 C y=e2 + A cos (四) 3 19 x+B sin 19 21 (D) y=e (A cos

Q: Find all solutions of the DE y"– 12 y '+36 y=16 te°* (where t is a real constant)

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Q: Write down the form of a particular solution to the equation y" + 2y + 2y = 5e¯* sin(t) + 5t³…

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Q: Find the solution of y" + 3y = 126 sin(3t) + 54 cos(3t) with y(0) = 2 and y' (0) = 7.

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Q: Show that w(t) =〈sin(3t + 4),sin(3t − 2)〉, cos 3t satisfies the differential equation w''(t) =…

A: Given- wt=<sin3t+4,sin3t-2>,cos3t To prove- That the above expression satisfies the…

Q: Find a particular solution to /" + 16y = 8 sin(4t).

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Q: Find a particular solution using the Undetermined Coefficients Method of y" -y' + y = 2 sin3x.

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Q: Find the general solution: 2y" + 3y' +y = 2e2 + x² + 3 sin(x).

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Q: Find the general solution dy + cos(x)y = cos(x) dx O y = 1+ ke-2 sin(x) O y² = 2 sin(x) + c y =…

A: Given differential equation is dydx+cosxy=cosx........1. We have to find the general solution of the…

Q: Show that y sin x is a solution to xy" + (2 secx)y' + xy = 2. =

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