sqrt(x)(dy)/(dx)=e^{y+sqrt(x)},x>0

Lösung

x \frac{d y}{d x} = e^{y + x}, x > 0

y = - ln (- 2 e^{x} - c_{1})

Schritte zur Lösung

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

Solve separable ODE:

y = - ln (- 2 e^{x} - c_{1})

y = - ln (- 2 e^{x} - c_{1})

y^{^{'}} - \frac{3 y}{x} = 0

(1 - x) y^{^{'}} = 6 y

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

\frac{d y}{x - 1} = y d x

t \frac{d y}{d t} = 17 y