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3 years ago

5

Solve the differential equation using the method of undetermined coefficients

1 answer:

yuradex [85]3 years ago

5 0

First: the homogeneous solutions: the characteristic equation is4r^2 - 4r - 3 = 0which has roots r = 3/2, -1/2 hence the homogeneous solution isy = c1.exp(-x/2) + c2.exp(3x/2)

next you need the general form for the guess for yp and that isyp = A1cos(2x) + A2sin(2x)
Now substitute that into the equation and solve for A1, A2.

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REY [17]

Answer:

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Step-by-step explanation:

we know that

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but first

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so

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