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

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{d y}{d x} = e^{3 x - 3 y}

\frac{d y}{d x} = \frac{( ( x ^{2} ) ( y ^{2} ) )}{5}

\frac{d x}{d t} = t e^{x}

10 \frac{d v}{d x} = 200 - 5 v^{2}

d y = \frac{y + 3}{x + 4} d x