12y^{''}+29y^'-11y=-9

Lösung

12 y^{^{''}} + 29 y^{^{'}} - 11 y = - 9

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- \frac{11 t}{4}} + \frac{9}{11}

Schritte zur Lösung

12 y^{''} (t) + 29 y^{'} (t) - 11 y = - 9

Solve linear ODE:

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- \frac{11 t}{4}} + \frac{9}{11}

y = c_{1} e^{\frac{t}{3}} + c_{2} e^{- \frac{11 t}{4}} + \frac{9}{11}

y^{^{''}} - 9 y = 2

y^{^{''}} - y = - 10 t + 4

y^{^{''}} - 10 y^{^{'}} + 25 y = e^{5} x ln (4 + x^{2})

\frac{d ^{2} y}{d x ^{2}} + y = cot (x)

y^{^{''}} + 2 y^{^{'}} + 5 y = e^{- t}