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Beliebt Rechnen >

y^{''}-2y^'+6=0

Lösung

y^{^{''}} - 2 y^{^{'}} + 6 = 0

Lösung

y = c_{1} e^{2 t} + c_{2} + 3 t

Schritte zur Lösung

y^{''} (t) - 2 y^{'} (t) + 6 = 0

Solve linear ODE:

y = c_{1} e^{2 t} + c_{2} + 3 t

y = c_{1} e^{2 t} + c_{2} + 3 t

Graph

Beliebte Beispiele

(d^4y)/(dx^4)+(d^2y)/(dx^2)=cos(4x)

\frac{d ^{4} y}{d x ^{4}} + \frac{d ^{2} y}{d x ^{2}} = cos (4 x)

y^{''''}-3y^{''}-4y=10sin(x)

y^{^{''''}} - 3 y^{^{''}} - 4 y = 10 sin (x)

y^{''}-25y=8e^{5x}

y^{^{''}} - 25 y = 8 e^{5 x}

y^{''}+4y=t^2+2e^t

y^{^{''}} + 4 y = t^{2} + 2 e^{t}

y^{''}+9y=6sin(3x)

y^{^{''}} + 9 y = 6 sin (3 x)