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Beliebt Rechnen >

y^{''}-y^'-12y=0,y(1)=0,y^'(1)=1

Lösung

y^{^{''}} - y^{^{'}} - 12 y = 0, y (1) = 0, y^{^{'}} (1) = 1

Lösung

y = \frac{e ^{4 t - 4}}{7} - \frac{e ^{3}}{7} e^{- 3 t}

Schritte zur Lösung

y^{''} (t) - y^{'} (t) - 12 y = 0

Solve linear ODE:

y = \frac{e ^{4 t - 4}}{7} - \frac{e ^{3}}{7} e^{- 3 t}

y = \frac{e ^{4 t - 4}}{7} - \frac{e ^{3}}{7} e^{- 3 t}

Graph

Beliebte Beispiele

y^{''}-2y^'-3y=0,y(0)=3,y^'(0)=2

y^{^{''}} - 2 y^{^{'}} - 3 y = 0, y (0) = 3, y^{^{'}} (0) = 2

(d^2y)/(dx^2)-8(dy)/(dx)+15y=0

\frac{d ^{2} y}{d x ^{2}} - 8 \frac{d y}{d x} + 15 y = 0

y^{''}-11y^'+24y=0

y^{^{''}} - 11 y^{^{'}} + 24 y = 0

16y^{''''}+16y^{''}+4y=0

16 y^{^{''''}} + 16 y^{^{''}} + 4 y = 0

x^{^{''}} + 64 x = 0