y*y^'=(5x)/(4sqrt(x^2+1))

Lösung

y \cdot y^{^{'}} = \frac{5 x}{4 x ^{2} + 1}

y = \frac{5}{2} x^{2} + 1 + c_{1}, y = - \frac{5}{2} x^{2} + 1 + c_{1}

Schritte zur Lösung

y \cdot y^{'} (x) = \frac{5 x}{4 x ^{2} + 1}

Solve separable ODE:

y = \frac{5}{2} x^{2} + 1 + c_{1}, y = - \frac{5}{2} x^{2} + 1 + c_{1}

y = \frac{5}{2} x^{2} + 1 + c_{1}, y = - \frac{5}{2} x^{2} + 1 + c_{1}

d er i v a t i v e \frac{x}{x ^{2} + 9}

\int \frac{1}{z ^{3} z ^{2} - 81} d z

\frac{\partial}{\partial x} (6 y^{8} x^{5} - 5 y^{7} x^{4})

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\int \frac{1}{3 cos ( u ) - 5 - 4 sin ( u )} d u