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Beliebt Rechnen >

-vy^{''}-ay=c

Lösung

- v y^{^{''}} - a y = c

Lösung

y = c_{1} cos (\frac{a}{v} t) + c_{2} sin (\frac{a}{v} t) - \frac{c}{a}

Schritte zur Lösung

- v y^{''} (t) - a y = c

Solve linear ODE:

y = c_{1} cos (\frac{a}{v} t) + c_{2} sin (\frac{a}{v} t) - \frac{c}{a}

y = c_{1} cos (\frac{a}{v} t) + c_{2} sin (\frac{a}{v} t) - \frac{c}{a}

Graph

Beliebte Beispiele

y^{''}-7y^'+10y=e^{3x}(-1+10x)

y^{^{''}} - 7 y^{^{'}} + 10 y = e^{3 x} (- 1 + 10 x)

y^{''}-9y^'+18y=e^{6t}

y^{^{''}} - 9 y^{^{'}} + 18 y = e^{6 t}

y^{''}+y=2*cos(x)*cos(2x)

y^{^{''}} + y = 2 \cdot cos (x) \cdot cos (2 x)

y^{''}+4y=-cos(3t)-2sin(3t)

y^{^{''}} + 4 y = - cos (3 t) - 2 sin (3 t)

y^{'''}-4y^{''}+5y^'=40x-7-6e^{2x}

y^{^{'''}} - 4 y^{^{''}} + 5 y^{^{'}} = 40 x - 7 - 6 e^{2 x}