(dy)/(dx)=((3x^2-e^x))/(2y-5)

Lösung

\frac{d y}{d x} = \frac{( 3 x ^{2} - e ^{x} )}{2 y - 5}

y = \frac{5 + 25 - 4 ( - c _{1} + e ^{x} - x ^{3} )}{2}, y = \frac{5 - 25 - 4 ( - c _{1} + e ^{x} - x ^{3} )}{2}

Schritte zur Lösung

\frac{d y}{d x} = \frac{( 3 x ^{2} - e ^{x} )}{2 y - 5}

Solve separable ODE:

y = \frac{5 + 25 - 4 ( - c _{1} + e ^{x} - x ^{3} )}{2}, y = \frac{5 - 25 - 4 ( - c _{1} + e ^{x} - x ^{3} )}{2}

y = \frac{5 + 25 - 4 ( - c _{1} + e ^{x} - x ^{3} )}{2}, y = \frac{5 - 25 - 4 ( - c _{1} + e ^{x} - x ^{3} )}{2}

\frac{d y}{d x} = \frac{x ^{2}}{cos ( y )}

\frac{d y}{d x} = \frac{( 3 x + 10 ) e ^{- 2 y}}{x ^{2} + 6 x + 8}

\frac{d x}{d t} = 40 - \frac{x}{100}, x = 3000, t = 0

e^{2 x} y^{2} y^{^{'}} = 1

y^{^{'}} = 5 x y