y^{''}+y=4xsin(x)

Lösung

y^{^{''}} + y = 4 x sin (x)

y = c_{1} cos (x) + c_{2} sin (x) - x^{2} cos (x) + x sin (x)

Schritte zur Lösung

y^{''} (x) + y = 4 x sin (x)

Solve linear ODE:

y = c_{1} cos (x) + c_{2} sin (x) - x^{2} cos (x) + x sin (x)

y = c_{1} cos (x) + c_{2} sin (x) - x^{2} cos (x) + x sin (x)

y^{^{''}} = - 4 \cdot y

\int \frac{1}{16 e ^{- 3 x} + e ^{3 x}} d x

y = x e^{x}

\frac{d ^{2}}{d x ^{2}} ((x^{2} + 4)^{7})

\int \frac{- x}{x ^{2} + 1} d x