4(d^2y)/(dx^2)-y=0

Lösung

4 \frac{d ^{2} y}{d x ^{2}} - y = 0

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

Schritte zur Lösung

4 \frac{d ^{2} y}{d x ^{2}} - y = 0

Solve linear ODE:

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

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

y^{^{''}} - 6 y^{^{'}} + 9 y = 0, y (0) = 2, y^{^{'}} (0) = 7

y^{^{'''}} + 13 y^{^{''}} + 43 y^{^{'}} + 31 y = 0

y^{^{''}} - 16 y = 0, y (0) = 1, y^{^{''}} (0) = 2

y^{^{''''}} - 3 y^{^{'''}} + 3 y^{^{''}} = 0

y^{^{''''}} - 7 y^{^{'''}} + 18 y^{^{''}} - 20 y^{^{'}} + 8 y = 0