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

Lösung

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

y = \frac{4 x + 16 x ^{2} + c _{1}}{10}, y = \frac{4 x - 16 x ^{2} + c _{1}}{10}

Schritte zur Lösung

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

Solve exact ODE:

y = \frac{4 x + 16 x ^{2} + c _{1}}{10}, y = \frac{4 x - 16 x ^{2} + c _{1}}{10}

y = \frac{4 x + 16 x ^{2} + c _{1}}{10}, y = \frac{4 x - 16 x ^{2} + c _{1}}{10}

\int 3 tan (3 x) d x

\int \frac{2 x ^{2} - 2 x - 1}{x ^{3} - x ^{2}} d x

in v erse l a pl a ce \frac{5 s e ^{- 2 s}}{2 s ^{2} + 50}

\int \frac{4 x ^{2} - 12 x - 19}{( x + 1 ) ^{2} ( x - 2 )} d x

\frac{d y}{d x} (x + 3) = y