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Beliebt Rechnen >

y^{''}+3/2 y^'+3/8 y=0

Lösung

y^{^{''}} + \frac{3}{2} y^{^{'}} + \frac{3}{8} y = 0

Lösung

y = c_{1} e^{\frac{( - 3 + 3 ) t}{4}} + c_{2} e^{- \frac{( 3 + 3 ) t}{4}}

Schritte zur Lösung

y^{''} (t) + \frac{3}{2} y^{'} (t) + \frac{3}{8} y = 0

Solve linear ODE:

y = c_{1} e^{\frac{( - 3 + 3 ) t}{4}} + c_{2} e^{- \frac{( 3 + 3 ) t}{4}}

y = c_{1} e^{\frac{( - 3 + 3 ) t}{4}} + c_{2} e^{- \frac{( 3 + 3 ) t}{4}}

Graph

Beliebte Beispiele

5(d^2y)/(dx^2)-7(dy)/(dx)-90y=0

5 \frac{d ^{2} y}{d x ^{2}} - 7 \frac{d y}{d x} - 90 y = 0

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

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

y^{''}-25y=0,y(0)=1,y^'(0)=0

y^{^{''}} - 25 y = 0, y (0) = 1, y^{^{'}} (0) = 0

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

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

(1/9 d^2-8d-2)y=0

(\frac{1}{9} d^{2} - 8 d - 2) y = 0