(d^2+4)*y=x^2

Lösung

(d^{2} + 4) \cdot y = x^{2}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} - \frac{1}{8}

Schritte zur Lösung

(d^{2} + 4) y = x^{2}

Solve linear ODE:

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} - \frac{1}{8}

y = c_{1} cos (2 x) + c_{2} sin (2 x) + \frac{x ^{2}}{4} - \frac{1}{8}

y^{^{''}} - y = x^{2} \cdot e^{x} + 5

y^{^{''}} + 5 y^{^{'}} + 6 y = 5 sin (x)

(d^{4} - 1) y = e^{x} cos (x)

y^{^{''}} - 2 y^{^{'}} = x^{2} - x

(d^{2} + 9) y = 7 e^{3 x} + 3 x^{2} + 4