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Beliebt Rechnen >

4y^{''}-4y^'-3y=0,y(0)=1,y^'(0)=7

Lösung

4 y^{^{''}} - 4 y^{^{'}} - 3 y = 0, y (0) = 1, y^{^{'}} (0) = 7

Lösung

y = (1 + \frac{11}{4}) e^{\frac{3 t}{2}} - \frac{11}{4} e^{- \frac{t}{2}}

Schritte zur Lösung

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

Solve linear ODE:

y = (1 + \frac{11}{4}) e^{\frac{3 t}{2}} - \frac{11}{4} e^{- \frac{t}{2}}

y = (1 + \frac{11}{4}) e^{\frac{3 t}{2}} - \frac{11}{4} e^{- \frac{t}{2}}

Graph

Beliebte Beispiele

(d^2y)/(dx^2)+81y=0

\frac{d ^{2} y}{d x ^{2}} + 81 y = 0

16y^{''}-8y^'+145y=0,y(0)=-2,y^'(0)=1

16 y^{^{''}} - 8 y^{^{'}} + 145 y = 0, y (0) = - 2, y^{^{'}} (0) = 1

(D^5-2D^3-2D^2-3D-2)y=0

(D^{5} - 2 D^{3} - 2 D^{2} - 3 D - 2) y = 0

y^{'''}-3y^{''}-y^'+3y=0

y^{^{'''}} - 3 y^{^{''}} - y^{^{'}} + 3 y = 0

y^{''}-5y^'+6y=0,y(0)=0,y^'(0)=3

y^{^{''}} - 5 y^{^{'}} + 6 y = 0, y (0) = 0, y^{^{'}} (0) = 3