Consider a Cauchy-Euler equation x^2y''- xy' +y =x^3 for x>0. a) Rewrite the equation as constant-...

Consider a Cauchy-Euler equation x^2y''- xy' +y =x^3 for x>0.

a) Rewrite the equation as constant- coefficeint equation by substituting x = e^t.

b) Solve it when x(1)=0, x'(1)=1.

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Colby Messinger answered 2 months ago

a) Solve the Cauchy-Euler equation: x^2y'' - xy' + y = x^3 b) Solve the initial-value...

a) Solve the Cauchy-Euler equation: x^2y'' - xy' + y = x^3 b) Solve the initial-value problem: y'' + y = sec^3(x); y(0) = 1, y'(0) =1/2

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Consider a Cauchy-Euler equation x^2y''- xy' +y =x^3 for x>0. a) Rewrite the equation as constant-...

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