Exercise
$\frac{dy}{dx}=y\left(x\right)\left(4-y\left(x\right)\right)-3$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the differential equation dy/dx=yx(4-yx)-3. Multiplying polynomials y and 4-yx. When multiplying two powers that have the same base (y), you can add the exponents. Multiplying polynomials x and 4y-y^2x. Multiplying polynomials y and 4-yx.
Solve the differential equation dy/dx=yx(4-yx)-3
Final answer to the exercise
$y=\left(-3\sum_{n=0}^{\infty } \frac{{\left(-2\right)}^nx^{\left(2n+1\right)}}{\left(2n+1\right)\left(n!\right)}+C_0\right)e^{2x^2}$