(d^2y)/(dx^2)-0.15y=0

Lösung

\frac{d ^{2} y}{d x ^{2}} - 0.15 y = 0

y = c_{1} e^{\frac{3 x}{2 5}} + c_{2} e^{- \frac{3 x}{2 5}}

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} - 0.15 y = 0

Solve linear ODE:

y = c_{1} e^{\frac{3 x}{2 5}} + c_{2} e^{- \frac{3 x}{2 5}}

y = c_{1} e^{\frac{3 x}{2 5}} + c_{2} e^{- \frac{3 x}{2 5}}

y^{^{''}} - 15 y^{^{'}} + 50 y = 0, y (0) = 11, y^{^{'}} (0) = - 65

121 y^{^{'''}} + 176 y^{^{''}} + 64 y^{^{'}} = 0

\frac{d ^{2} y}{d x ^{2}} + 8 \cdot \frac{d y}{d x} + 5 \cdot y = 0

y^{^{''}} + 2 y^{^{'}} + 5 y = 0, y (0) = 0, y^{^{'}} (0) = - 7

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