Pregunta: Solve the initial value problem 256y4 − y''' = 2x + e4x y(0) = y'(0) = y''(0 )= y'''(0) = 0

The characteristic polynomial is given by $256{\mathrm{r}}^4-{\mathrm{r}}^3={\mathrm{r}}^3(256\mathrm{r}-1)$ whose roots are $\mathrm{r}=0,0,0,\frac{1}{256}$

Thus the complmentary solution is given b...