2. Using the method of undetermined coefficients, find a particular solution of V +y =t(1+ sin t).

Q: Find a result by using undetermined coefficients for ý + y = x² + x+sin(2x)

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Q: 2. Solve using any technique y" – 2y – 3y = sin r

A: First we find CF and then PI(by using the formula of PI of sin(ax)) and further find general…

Q: 4. Solve, using the method of undetermined coefficients: y" – 4y = (x² – 3) sin 2x

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Q: refer to the given: (D* + 6D: + 9)y = 0 Solve for the roots: +/- V2i , +/- VZi +/- V4i , +/- V4i A.…

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Q: Determine exact solutions for the equation 2sin2x-3sinx + 1 = 0 in the interval x e [T, 3n].

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Q: Q1 show that fx=|x|sinx and gx=xsinx are independent solutions Q 2 Show that fx=|x| and gx=x ^2 are…

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Q: 2. (Dª + 4D²) y = 48x + 96 sin 2x

A: Given: D4+4D2y=48x+96 sin 2x   Solution: A linear non-homogenous ODE with constant coefficients has…

Q: The tanh (2x) sech (2x) dx is equal to sech (2x) sech (2x) +C OA 3 10 OB. sech (2x) sech (2x) +C. 3…

A: Solution

Q: Determine the form to be used for x when using the method of undetermined coefficients. x" + 2x = 8…

A: Given DE is  x"+2x=8sin(2t) ......(1)

Q: find the general solution - こ (64y = sin (2x)

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Q: I. Eliminate the arbitrary constants -3x y= C, e sin2x + - 3x Cze cos 2x

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Q: Verify that y = cos x and y = sin x are solutions of the DE y” + y = 0. Are any of the following…

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Q: Find the general solution of y" - 6y"=3 - cosx.

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Q: 1 cot-¹(-√3)

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Q: Find m such that the function y= Aex satisfies the equation 2y"=y'+y

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