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

Lösung

\frac{d y}{d x} y^{2} - x^{3} = 1

y = 3 3 x + \frac{3 x ^{4}}{4} + c_{1}

Schritte zur Lösung

\frac{d y}{d x} y^{2} - x^{3} = 1

Solve separable ODE:

y = 3 3 x + \frac{3 x ^{4}}{4} + c_{1}

y = 3 3 x + \frac{3 x ^{4}}{4} + c_{1}

y^{^{'}} = 7 sin (7 x) y

\frac{y ^{^{'}} - ( y )}{( x + y ^{2} )} = 0

(x^{4} + 5 x^{4} y^{2}) d x + e^{x^{5}} y d y = 0

y^{^{'}} + \frac{1}{5} y = y^{- 3}

\frac{d x}{d t} x = e^{t}