(dy)/(dx)=(1+x)/(sqrt(y))

Lösung

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

y = \frac{3 36 x ^{2} + 36 c _{1}^{2} + 36 x ^{3} + 36 c _{1} x ^{2} + 72 c _{1} x + 9 x ^{4}}{2 3 2}

Schritte zur Lösung

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

Solve separable ODE:

y = \frac{3 36 x ^{2} + 36 c _{1}^{2} + 36 x ^{3} + 36 c _{1} x ^{2} + 72 c _{1} x + 9 x ^{4}}{2 3 2}

y = \frac{3 36 x ^{2} + 36 c _{1}^{2} + 36 x ^{3} + 36 c _{1} x ^{2} + 72 c _{1} x + 9 x ^{4}}{2 3 2}

x \to 0 lim (\frac{7}{x ^{2} + x} - \frac{7}{x})

\frac{\partial}{\partial x} (\frac{x y}{x + 1})

in v erse l a pl a ce \frac{( s + 2 )}{( s + 1 ) ^{2}}

\frac{\partial}{\partial z} (x yz + x y^{5} + y z^{5} + z x^{5})

f (x) = 2 e^{3 x}