(dy)/(dx)=((xsqrt(x^2+1)))/(ye^y)

Lösung

\frac{d y}{d x} = \frac{( x x ^{2} + 1 )}{y e ^{y}}

y = W \frac{( x ^{2} + 1 ) ^{\frac{3}{2}} + c _{1}}{3 e} + 1

Schritte zur Lösung

\frac{d y}{d x} = \frac{( x x ^{2} + 1 )}{y e ^{y}}

Solve separable ODE:

y = W \frac{( x ^{2} + 1 ) ^{\frac{3}{2}} + c _{1}}{3 e} + 1

y = W \frac{( x ^{2} + 1 ) ^{\frac{3}{2}} + c _{1}}{3 e} + 1

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

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

\frac{f ^{^{'}} ( x )}{f ( x )} = x e^{x}, f (0) = 4

y^{^{'}} = \frac{3 y ^{2} + 9}{( 2 x y )}

y^{^{'}} + 5 x y = x