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Beliebt Rechnen >

y^{''}-4y^'+13=0

Lösung

y^{^{''}} - 4 y^{^{'}} + 13 = 0

Lösung

y = c_{1} e^{4 t} + c_{2} + \frac{13 t}{4}

Schritte zur Lösung

y^{''} (t) - 4 y^{'} (t) + 13 = 0

Solve linear ODE:

y = c_{1} e^{4 t} + c_{2} + \frac{13 t}{4}

y = c_{1} e^{4 t} + c_{2} + \frac{13 t}{4}

Graph

Beliebte Beispiele

y^{''}-3y^'+2y=e^x+cos(x)

y^{^{''}} - 3 y^{^{'}} + 2 y = e^{x} + cos (x)

y^{''}-2y^'-3y=8ex-12

y^{^{''}} - 2 y^{^{'}} - 3 y = 8 e x - 12

(d^2y)/(dx^2)+(dy)/(dx)-6y=18

\frac{d ^{2} y}{d x ^{2}} + \frac{d y}{d x} - 6 y = 18

y^{''}-y^'-2y=e^x

y^{^{''}} - y^{^{'}} - 2 y = e^{x}

y^{''}+49y=sec(7x)

y^{^{''}} + 49 y = sec (7 x)