e^{2x}*y^'=xcos^2(y)

Lösung

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

y = arctan (- \frac{1}{2} e^{- 2 x} x - \frac{1}{4} e^{- 2 x} + c_{1}) + πn

Schritte zur Lösung

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

Solve separable ODE:

y = arctan (- \frac{1}{2} e^{- 2 x} x - \frac{1}{4} e^{- 2 x} + c_{1}) + πn

y = arctan (- \frac{1}{2} e^{- 2 x} x - \frac{1}{4} e^{- 2 x} + c_{1}) + πn

(x^{2} + 1) d y + 2 x (2 y - 1) d x = 0

\frac{d y}{d t} = e^{t + y + 3}

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

y^{^{'}} = \frac{x}{3 - y}

\frac{d y}{d x} = \frac{y + 3}{x - 4}