x^3dx+(y+1)^2dy=0
Let us solve the differential equation
"x^3dx+(y+1)^2dy=0."
It follows that
"\\int x^3dx+\\int(y+1)^2dy=C," and we conclude that the general solution of this differential equation is
"\\frac{x^4}4+\\frac{(y+1)^3}3=C."
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