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Beliebt Rechnen >

y^{''}-3y^'+18y=0

Lösung

y^{^{''}} - 3 y^{^{'}} + 18 y = 0

Lösung

y = e^{\frac{3 t}{2}} (c_{1} cos (\frac{3 7 t}{2}) + c_{2} sin (\frac{3 7 t}{2}))

Schritte zur Lösung

y^{''} (t) - 3 y^{'} (t) + 18 y = 0

Solve linear ODE:

y = e^{\frac{3 t}{2}} (c_{1} cos (\frac{3 7 t}{2}) + c_{2} sin (\frac{3 7 t}{2}))

y = e^{\frac{3 t}{2}} (c_{1} cos (\frac{3 7 t}{2}) + c_{2} sin (\frac{3 7 t}{2}))

Graph

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y^'=(2x+y)/(2x+y+3)

y^{^{'}} = \frac{2 x + y}{2 x + y + 3}