dy=5x^4(2-y)dx

Lösung

d y = 5 x^{4} (2 - y) d x

y = - e^{- x^{5} - c_{1}} + 2

Schritte zur Lösung

d y = 5 x^{4} (2 - y) d x

Solve separable ODE:

y = - e^{- x^{5} - c_{1}} + 2

y = - e^{- x^{5} - c_{1}} + 2

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

y d x - x d y = 2 d y

\frac{1}{t} y^{^{'}} = 6 sin^{2} (y), y (1) = \frac{5 π}{4}

y^{^{'}} = \frac{y \cdot cos ( x )}{1 - 2 y}

y^{^{'}} = \frac{x}{y}, y (1) = 0