(a) Find the general solution of the homogeneous second order differential equation d²y _3d% +2y= 0. dx dx (b) Hence, by considering solution in Q1(a) solve the differential equation d²y - 3 +2y = 14 sin 2x – 18 cos2x dx dy dx by using method of undetermined coefficients.

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Q: 3. Consider the second order differential equation _dx +7. + 6x = 0. dt2 dt (a) Convert the equation…

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Q: 10. Find the general solution to a sixth-order linear homogeneous differential equation for y(x)…

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A: Given differential equation  y'+ y = 6e x   ,    y(0) =3

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A: y''-25y=e^5x g(x)=e^5x

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A: Only one question is solved. Solving more than one question is solved in the policy of bartleby.

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Q: 4. Solve the differential equation 2x(2x – 1) - (x + 1) + y = 0 using the method of Frobenius. dx2

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