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Beliebt Rechnen >

y^{''}-3y^'+2y=0,y(0)=2,y^'(0)=-6

Lösung

y^{^{''}} - 3 y^{^{'}} + 2 y = 0, y (0) = 2, y^{^{'}} (0) = - 6

Lösung

y = - 8 e^{2 t} + 10 e^{t}

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 2 y = 0

Solve linear ODE:

y = - 8 e^{2 t} + 10 e^{t}

y = - 8 e^{2 t} + 10 e^{t}

Graph

Beliebte Beispiele

y^{''}-7y^'+12y=0,y(0)=1

y^{^{''}} - 7 y^{^{'}} + 12 y = 0, y (0) = 1

y^{''}+15y^'+44y=0,y(0)=1,y^'(0)=0

y^{^{''}} + 15 y^{^{'}} + 44 y = 0, y (0) = 1, y^{^{'}} (0) = 0

y^{''}+12y^'+36y=0,y(-1)=2,y^'(-1)=5

y^{^{''}} + 12 y^{^{'}} + 36 y = 0, y (- 1) = 2, y^{^{'}} (- 1) = 5

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

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

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

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