(x+xy^2)dx-4ydy=0,y(1)=0

Lösung

(x + x y^{2}) d x - 4 y d y = 0, y (1) = 0

y = e^{\frac{x ^{2}}{4} + c_{1}} - 1, y = - e^{\frac{x ^{2}}{4} + c_{1}} - 1

Schritte zur Lösung

(x + x y^{2}) d x - 4 y d y = 0

Solve separable ODE:

y = e^{\frac{x ^{2}}{4} + c_{1}} - 1, y = - e^{\frac{x ^{2}}{4} + c_{1}} - 1

y = e^{\frac{x ^{2}}{4} + c_{1}} - 1, y = - e^{\frac{x ^{2}}{4} + c_{1}} - 1

y^{^{'}} + y cos (x) = 7 cos (x)

v \frac{d v}{d x} = - 475000 - 5 v^{2}

d x - 3 x y d y = 2 y d y

y^{^{'}} = (4 x + 9) (2 y + 5)

\frac{d y}{d x} + 2 x = 2 x