Question

Find the power series solutions near X=o of the differential equation 4x²d²y/dx²-x²dy/dx +(3x-5)=0 ​

Answer 1

Answer:

Previously, we studied how functions can be represented as power series, y(x)=∑n=0∞anxn . We also saw that we can find series representations of the derivatives of such functions by differentiating the power series term by term. This gives

y'(x)=∑n=1∞nanxn−1

and