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Beliebt Rechnen >

4y^{''}+8y^'-21y=0,y(0)=1,y^'(0)=0

Lösung

4 y^{^{''}} + 8 y^{^{'}} - 21 y = 0, y (0) = 1, y^{^{'}} (0) = 0

Lösung

y = (1 - \frac{3}{10}) e^{\frac{3 t}{2}} + \frac{3}{10} e^{- \frac{7 t}{2}}

Schritte zur Lösung

4 y^{''} (t) + 8 y^{'} (t) - 21 y = 0

Solve linear ODE:

y = (1 - \frac{3}{10}) e^{\frac{3 t}{2}} + \frac{3}{10} e^{- \frac{7 t}{2}}

y = (1 - \frac{3}{10}) e^{\frac{3 t}{2}} + \frac{3}{10} e^{- \frac{7 t}{2}}

Graph

Beliebte Beispiele

y^{''}+3y^'-10y=0,y(0)=α,y^'(0)=5

y^{^{''}} + 3 y^{^{'}} - 10 y = 0, y (0) = α, y^{^{'}} (0) = 5

linear y^{''}+49y=0

l in e a r y^{^{''}} + 49 y = 0

x^{''}+ax^'+2^2x=0

x^{^{''}} + a x^{^{'}} + 2^{2} x = 0

y^{''}+2y^'+y=0,y(1)=2,y^'(0)=2

y^{^{''}} + 2 y^{^{'}} + y = 0, y (1) = 2, y^{^{'}} (0) = 2

(d^2x)/(dt^2)+a*(dx)/(dt)=0

\frac{d ^{2} x}{d t ^{2}} + a \cdot \frac{d x}{d t} = 0