Esercizio
$\frac{dy}{dx}=\frac{xy+2x-y-2}{x\left(y^2-4\right)}$
Soluzione passo-passo
Impara online a risolvere i problemi di calcolo differenziale passo dopo passo. dy/dx=(xy+2x-y+-2)/(x(y^2-4)). Simplify \sqrt{y^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Applicare la formula: a^b=a^b, dove a=4, b=\frac{1}{2} e a^b=\sqrt{4}. Simplify \sqrt{y^2} using the power of a power property: \left(a^m\right)^n=a^{m\cdot n}. In the expression, m equals 2 and n equals \frac{1}{2}. Applicare la formula: a^b=a^b, dove a=4, b=\frac{1}{2} e a^b=\sqrt{4}.
dy/dx=(xy+2x-y+-2)/(x(y^2-4))
Risposta finale al problema
$y=2+\sqrt{2x-2\ln\left(x\right)+C_1+4},\:y=2-\sqrt{2x-2\ln\left(x\right)+C_1+4}$