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Beliebt Rechnen >

(d^3y)/(dx^3)+3(d^2y)/(dx^2)=0

Lösung

\frac{d ^{3} y}{d x ^{3}} + 3 \frac{d ^{2} y}{d x ^{2}} = 0

Lösung

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

Schritte zur Lösung

\frac{d ^{3} y}{d x ^{3}} + 3 \frac{d ^{2} y}{d x ^{2}} = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+16/3 y=0

y^{^{''}} + \frac{16}{3} y = 0

4y^{''}+22y^'+18y=0,y(0)=3,y^'(0)=0

4 y^{^{''}} + 22 y^{^{'}} + 18 y = 0, y (0) = 3, y^{^{'}} (0) = 0

2y^{''}-5y-3y=0

2 y^{^{''}} - 5 y - 3 y = 0

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(d^2y)/(dx^2)+7(dy)/(dx)-12y=0

\frac{d ^{2} y}{d x ^{2}} + 7 \frac{d y}{d x} - 12 y = 0