(dy)/(5x+2)-(dx)/(2y-1)=0

Lösung

\frac{d y}{5 x + 2} - \frac{d x}{2 y - 1} = 0

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

Schritte zur Lösung

\frac{d y}{5 x + 2} - \frac{d x}{2 y - 1} = 0

Solve separable ODE:

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

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

y^{^{'}} + 0.5 y = 1

y^{^{'}} + t y = y, y (1) = 3

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

\frac{d y}{d x} = \frac{7 x}{e ^{y}}

y^{^{'}} + 2 y = 1, y (0) = 0