Question

Use the substitution X = e to transform the given Cauchy-Euler equation to a differential equation with constant coefficient

Use the substitution

x = et

to transform the given Cauchy-Euler equation to a differential equation with constant coefficients. (Use yp for

y
dt

and ypp for

d2y
dt2

.)

x2y'' − 3xy' + 13y = 4 + 7x

Solve the original equation by solving the new equation using the procedure in Sections 4.3-4.5.

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Answer #1

AH Ginen Differential canation & x - snylt 13y= 4+76 Let- dy da = et then Q= — е 72 da dat where to go dy -t dy et So to the

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