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Beliebt Rechnen >

(sin(t))y^'+(cos(t))y=3t(sin(t))

Lösung

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

Lösung

y = \frac{3 ( - t cos ( t ) + sin ( t ) )}{sin ( t )} + \frac{c _{1}}{sin ( t )}

Schritte zur Lösung

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

Solve linear ODE:

y = \frac{3 ( - t cos ( t ) + sin ( t ) )}{sin ( t )} + \frac{c _{1}}{sin ( t )}

y = \frac{3 ( - t cos ( t ) + sin ( t ) )}{sin ( t )} + \frac{c _{1}}{sin ( t )}

Graph

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