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

Lösung

\frac{d y}{d x} = \frac{2 x - 3}{5 y}

y = \frac{2 x ^{2} - 6 x + c _{1}}{5}, y = - \frac{2 x ^{2} - 6 x + c _{1}}{5}

Schritte zur Lösung

\frac{d y}{d x} = \frac{2 x - 3}{5 y}

Solve separable ODE:

y = \frac{2 x ^{2} - 6 x + c _{1}}{5}, y = - \frac{2 x ^{2} - 6 x + c _{1}}{5}

y = \frac{2 x ^{2} - 6 x + c _{1}}{5}, y = - \frac{2 x ^{2} - 6 x + c _{1}}{5}

\frac{d}{d x} (\frac{( x ^{3} - x )}{1 + x ^{2}})

\frac{d}{d x} (ln (\frac{( 1 - x )}{( x + 5 ) ^{3}}))

\frac{d}{d x} (cos (\frac{π x}{2}))

\frac{\partial}{\partial x} (6 x + 12)

t an g e n t f (x) = \frac{8}{7 x}, at 1, 87