Find the general solution of the given linear differential equation using the series method. (1) Show that the solutions for the equation 4y"+y CO FG [T 7 G 1 22 2! -2² 1 22-3! 3 + + 1 24.4! 1 24-5! .5 1 26.6! x + 1 26.7! 7 + 0 are

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Q: (b)Comment and interpret the complete solution of the differential

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A: The given differential equations, A) t2dxdt-t2x2=7t3x2-18t7x2+7x B) xtdxdt-t2x2=7t3x2-18t4x2+7x C)…

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A: Given differential equation is

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A: The given series is .