y(dy)/(dx)=((9x^3-1))/((7+y^2))

Lösung

y \frac{d y}{d x} = \frac{( 9 x ^{3} - 1 )}{( 7 + y ^{2} )}

y = - 7 + 9 x^{4} - 4 x + c_{1} + 49, y = - - 7 + 9 x^{4} - 4 x + c_{1} + 49, y = - 9 x^{4} - 4 x + c_{1} + 49 - 7, y = - - 9 x^{4} - 4 x + c_{1} + 49 - 7

Schritte zur Lösung

y \frac{d y}{d x} = \frac{( 9 x ^{3} - 1 )}{( 7 + y ^{2} )}

Solve separable ODE:

y = - 7 + 9 x^{4} - 4 x + c_{1} + 49, y = - - 7 + 9 x^{4} - 4 x + c_{1} + 49, y = - 9 x^{4} - 4 x + c_{1} + 49 - 7, y = - - 9 x^{4} - 4 x + c_{1} + 49 - 7

y = - 7 + 9 x^{4} - 4 x + c_{1} + 49, y = - - 7 + 9 x^{4} - 4 x + c_{1} + 49, y = - 9 x^{4} - 4 x + c_{1} + 49 - 7, y = - - 9 x^{4} - 4 x + c_{1} + 49 - 7

\frac{d y}{d x} = (\frac{y ^{2}}{e ^{x}}), y (0) = (\frac{1}{2})

2 x y^{2} + x^{2} 2 y \frac{d y}{d x} = 0

y^{^{'}} = e^{x - y}, y (0) = ln (7)

\frac{d y}{d x} + x^{2} y = 5 x^{2}

\frac{d x}{d y} = k x (y)