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.
Use the substitution x = et to transform the given
Cauchy-Euler equation to a differential equation with constant
coefficients. (Use yp for dy/dt and ypp for
d2y/dt2.)
x2y'' − 3xy' + 13y = 2 + 3x