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Beliebt Rechnen >

(d^2y)/(dx^2)=3y

Lösung

\frac{d ^{2} y}{d x ^{2}} = 3 y

Lösung

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

Schritte zur Lösung

\frac{d ^{2} y}{d x ^{2}} = 3 y

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{^{''}} - 4 y + 7 y = 0

y^{''}+100y=0,y(pi)=5,y(0)=2

y^{^{''}} + 100 y = 0, y (π) = 5, y (0) = 2

θ^{''}(t)+(9.8^2)/(80)θ(t)=0

θ^{^{''}} (t) + \frac{9. 8 ^{2}}{80} θ (t) = 0

((\frac{d^2f)/(dx^2))}{f(x)}=1

\frac{( \frac{d ^{2} f}{d x ^{2}} )}{f ( x )} = 1

2y^{''}-3y^'-6y=0

2 y^{^{''}} - 3 y^{^{'}} - 6 y = 0