y^'-sin(x)*y=3sin(x)

Lösung

y^{^{'}} - sin (x) \cdot y = 3 sin (x)

y = e^{- c o s (x) + c_{1}} - 3

Schritte zur Lösung

y^{'} (x) - sin (x) \cdot y = 3 sin (x)

Solve separable ODE:

y = e^{- c o s (x) + c_{1}} - 3

y = e^{- c o s (x) + c_{1}} - 3

y^{2} y^{^{'}} = (1 + y^{3}) cos (x)

\frac{d y}{d t} = y (y - 1)

(x y + y^{2}) d x - (x^{2} + x y) d y = 0

y^{^{'}} = \frac{x ^{4}}{y ^{2}}

\frac{d y}{d x} = x y + 6 x + 5 y + 30