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Beliebt Rechnen >

4y^{'''}-12y^'+9y^'=0

Lösung

4 y^{^{'''}} - 12 y^{^{'}} + 9 y^{^{'}} = 0

Lösung

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

Schritte zur Lösung

4 y^{'''} (t) - 12 y^{'} (t) + 9 y^{'} (t) = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

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

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

5/8 x^{''}+80x=0

\frac{5}{8} x^{^{''}} + 80 x = 0

(d^2x)/(dt^2)=-4x

\frac{d ^{2} x}{d t ^{2}} = - 4 x

(d^2y)/(dx^2)+8(dy)/(dx)+12y=0

\frac{d ^{2} y}{d x ^{2}} + 8 \frac{d y}{d x} + 12 y = 0

(d^2y)/(dx^2)+2(dy)/(dx)+37y=0

\frac{d ^{2} y}{d x ^{2}} + 2 \frac{d y}{d x} + 37 y = 0