y^'=6xy-2x

Lösung

y^{^{'}} = 6 x y - 2 x

y = \frac{e ^{3 x^{2} + c_{1}}}{3} + \frac{1}{3}

Schritte zur Lösung

y^{'} (x) = 6 x y - 2 x

Solve separable ODE:

y = \frac{e ^{3 x^{2} + c_{1}}}{3} + \frac{1}{3}

y = \frac{e ^{3 x^{2} + c_{1}}}{3} + \frac{1}{3}

3 x + 2 y^{2} d x + 2 x y d y = 0

\frac{d y}{d x} = x^{3} (y - 2), y (0) = 4

y^{^{'}} = y cos (x), y (0) = 5

x^{2} y^{^{'}} - 6 x y + 10 y = 0

y^{^{'}} = - \frac{x - 7}{49 y - 343}, y (8) = 0