4y^{''}-y=2

Lösung

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

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{2}} - 2

Schritte zur Lösung

4 y^{''} (t) - y = 2

Solve linear ODE:

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{2}} - 2

y = c_{1} e^{\frac{t}{2}} + c_{2} e^{- \frac{t}{2}} - 2

y^{^{''}} - 3 y^{^{'}} + 2 y = 10 sin (x)

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

x^{^{''}} - x^{^{'}} - 6 x = 8

y^{^{''}} - y^{^{'}} - 2 y = 3 x + 3

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