xsqrt(1-y^2)dx+ysqrt(1+x^2)dy=0

Lösung

x 1 - y^{2} d x + y 1 + x^{2} d y = 0

y = - x^{2} + 2 c_{1} x^{2} + 1 - c_{1}^{2}, y = - - x^{2} + 2 c_{1} x^{2} + 1 - c_{1}^{2}

Schritte zur Lösung

x 1 - y^{2} d x + y 1 + x^{2} d y = 0

Solve separable ODE:

y = - x^{2} + 2 c_{1} x^{2} + 1 - c_{1}^{2}, y = - - x^{2} + 2 c_{1} x^{2} + 1 - c_{1}^{2}

y = - x^{2} + 2 c_{1} x^{2} + 1 - c_{1}^{2}, y = - - x^{2} + 2 c_{1} x^{2} + 1 - c_{1}^{2}

\int_{0}^{1} \frac{1}{x ^{2} - 3} d x

\int \frac{9 x ^{2} + x + 48}{( x + 3 ) ( x ^{2} + 9 )} d x

\frac{\partial}{\partial y} (x y e^{s i n (π x y)})

a re a y = 2, y = sec (x)

\frac{d}{d t} (sin^{2} (π t))