Final Answer
Step-by-step Solution
Specify the solving method
Factor the numerator by $2$
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}=\frac{2\left(2x^2+2x+1\right)}{2\left(y+1\right)}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx=(4x^2+4x+2)/(2(y+1)). Factor the numerator by 2. Cancel the fraction's common factor 2. Divide fractions \frac{1}{\frac{1}{y+1}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. Integrate both sides of the differential equation, the left side with respect to .