1. Use the procedures developed in this chapter to find the general solution of the differential...

1. Use the procedures developed in this chapter to find the general solution of the differential equation.

a.) (Let x be the independent variable.) y''' − 2y'' = 12

b.) 20x²y'' + 21xy' − y = 0

c.) x²y'' − 6xy' + 10y = −2x⁴ + 3x²

d.) Solve the given differential equation subject to the indicated conditions. y'' − 4y = x + sin x, y(0) = 3, y'(0) = 4

e.) Solve the given differential equation subject to the indicated conditions. y'y'' = 16x, y(1) = 8, y'(1) = 4

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Expert Solution

Colby Messinger answered 1 year ago

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