(2x+1)dx+(5-6y)dy=0

Lösung

(2 x + 1) d x + (5 - 6 y) d y = 0

y = - \frac{- 5 + 25 + 12 ( - c _{1} + x + x ^{2} )}{6}, y = - \frac{- 5 - 25 + 12 ( - c _{1} + x + x ^{2} )}{6}

Schritte zur Lösung

(2 x + 1) d x + (5 - 6 y) d y = 0

Solve separable ODE:

y = - \frac{- 5 + 25 + 12 ( - c _{1} + x + x ^{2} )}{6}, y = - \frac{- 5 - 25 + 12 ( - c _{1} + x + x ^{2} )}{6}

y = - \frac{- 5 + 25 + 12 ( - c _{1} + x + x ^{2} )}{6}, y = - \frac{- 5 - 25 + 12 ( - c _{1} + x + x ^{2} )}{6}

y^{^{'}} = 12 y^{- 2}, y (0) = 3

y^{^{'}} + x y = x y^{\frac{- 1}{2}}

y^{^{'}} = - 4 y e^{t}, y (0) = 1

(3 y^{2} - 3) d x + 5 x y d y = 0

sin (y) y^{^{'}} = 2 x cos (y)