(dx)/(dy)=-(4y^2+10xy)/(5y^2+2x)

Lösung

\frac{d x}{d y} = - \frac{4 y ^{2} + 10 x y}{5 y ^{2} + 2 x}

x = \frac{- 15 y ^{2} + 225 y ^{4} - 12 ( 4 y ^{3} - c _{1} )}{6}, x = \frac{- 15 y ^{2} - 225 y ^{4} - 12 ( 4 y ^{3} - c _{1} )}{6}

Schritte zur Lösung

\frac{d x}{d y} = - \frac{4 y ^{2} + 10 x y}{5 y ^{2} + 2 x}

Solve exact ODE:

x = \frac{- 15 y ^{2} + 225 y ^{4} - 12 ( 4 y ^{3} - c _{1} )}{6}, x = \frac{- 15 y ^{2} - 225 y ^{4} - 12 ( 4 y ^{3} - c _{1} )}{6}

x = \frac{- 15 y ^{2} + 225 y ^{4} - 12 ( 4 y ^{3} - c _{1} )}{6}, x = \frac{- 15 y ^{2} - 225 y ^{4} - 12 ( 4 y ^{3} - c _{1} )}{6}

\frac{d ^{2} y}{d x ^{2}} - 6 \frac{d y}{d x} + 9 y = 0

t an g e n t \frac{e ^{x}}{x + 4}

\frac{d}{d x} (x^{3} + x^{2} - 8 x + 7)

\int 2^{u} d u

y^{^{''}} - y^{^{'}} + 289 y = 17 sin (17 t)