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Beliebt Rechnen >

4y^{''}-4y^'-3y=0,y(0)=1,y^'(0)=3

Lösung

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 3

Lösung

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

Schritte zur Lösung

4 y^{''} (t) - 4 y^{'} (t) - 3 y = 0

Solve linear ODE:

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

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

Graph

Beliebte Beispiele

y^{''}+3y=0,y(0)=1,y^'(0)=3

y^{^{''}} + 3 y = 0, y (0) = 1, y^{^{'}} (0) = 3

y^{^{''}} - 4 y + 5 y = 0

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

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

5(d^2x)/(dt^2)+3(dx)/(dt)+6x=0

5 \frac{d ^{2} x}{d t ^{2}} + 3 \frac{d x}{d t} + 6 x = 0

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

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