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Beliebt Rechnen >

y^{''}-9y^'=0,y(0)=e^{3x}

Lösung

y^{^{''}} - 9 y^{^{'}} = 0, y (0) = e^{3 x}

Lösung

y = c_{1} e^{9 x} + c_{2}

Schritte zur Lösung

y^{''} (x) - 9 y^{'} (x) = 0

Solve linear ODE:

y = c_{1} e^{9 x} + c_{2}

y = c_{1} e^{9 x} + c_{2}

Graph

Beliebte Beispiele

y^{'''}+4y^{''}-15y^'-18y=0

y^{^{'''}} + 4 y^{^{''}} - 15 y^{^{'}} - 18 y = 0

(d^2x)/(dt^2)+3(dx)/(dt)+8x=0,x=0,t=0

\frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 8 x = 0, x = 0, t = 0

y^{^{''}} + a \cdot y = 0

y^{^{''}} - 4 c^{2} y = 0

(d^2y)/(dt^2)+5(dy)/(dt)+4y=0

\frac{d ^{2} y}{d t ^{2}} + 5 \frac{d y}{d t} + 4 y = 0