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Beliebt Rechnen >

y^{''}+9y=30sin(3t)

Lösung

y^{^{''}} + 9 y = 30 sin (3 t)

Lösung

y = c_{1} cos (3 t) + c_{2} sin (3 t) - 5 t cos (3 t)

Schritte zur Lösung

y^{''} (t) + 9 y = 30 sin (3 t)

Solve linear ODE:

y = c_{1} cos (3 t) + c_{2} sin (3 t) - 5 t cos (3 t)

y = c_{1} cos (3 t) + c_{2} sin (3 t) - 5 t cos (3 t)

Graph

Beliebte Beispiele

2*x*y^2+2*x+(x^2*y+4*y)*y^'=0

2 \cdot x \cdot y^{2} + 2 \cdot x + (x^{2} \cdot y + 4 \cdot y) \cdot y^{^{'}} = 0

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

integral of cos(3x+5)

\int cos (3 x + 5) d x

\frac{d}{d t} (2 t)

(\partial)/(\partial x)(sin(x)cos(iy))

\frac{\partial}{\partial x} (sin (x) cos (i y))