y^{''''}+2y^{''}+y=9t+10

Lösung

y^{^{''''}} + 2 y^{^{''}} + y = 9 t + 10

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 9 t + 10

Schritte zur Lösung

y^{(4)} (t) + 2 y^{''} (t) + y = 9 t + 10

Solve linear ODE:

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 9 t + 10

y = c_{1} cos (t) + c_{2} sin (t) + t (c_{3} cos (t) + c_{4} sin (t)) + 9 t + 10

y^{^{'''}} - 2 y^{^{''}} + y^{^{'}} = e^{x} cos (2 x)

y^{^{''}} - 6 y^{^{'}} + 9 y = x + 1

7 y^{^{''}} = 5 y - \frac{3}{2} x^{2}, y (0) = 0, y^{^{'}} (2) = 0

y^{^{''}} - 2 y^{^{'}} + 4 y = e^{x}

\frac{d ^{2} y}{d x ^{2}} - 4 \frac{d y}{d x} + 3 y = e^{4 x}