Exercise
$\frac{dy}{dx}=4y^2+4$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation dy/dx=4y^2+4. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Simplify the expression \frac{1}{4y^2+4}dy. Integrate both sides of the differential equation, the left side with respect to y, and the right side with respect to x. Solve the integral \int\frac{1}{4\left(y^2+1\right)}dy and replace the result in the differential equation.
Solve the differential equation dy/dx=4y^2+4
Final answer to the exercise
$y=\tan\left(4\left(x+C_0\right)\right)$