Esercizio
$\frac{dy}{dx}=\frac{xy-3x}{x^2-1}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. dy/dx=(xy-3x)/(x^2-1). Simplify \sqrt{x^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=1, b=\frac{1}{2} e a^b=\sqrt{1}. Simplify \sqrt{x^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=1, b=\frac{1}{2} e a^b=\sqrt{1}.
Risposta finale al problema
$y=C_1\sqrt{x+1}\sqrt{x-1}+3$