4. The differential equation: dy + P(x)y = f(x)y", dr where n is any real number, is called a Bernoulli equation. The following steps will outline how to solve the Bernoulli equation: dy xY e dx 2 2y...

Using bernoulli solve the equation. Please help

Extracted text: 4. The differential equation: dy + P(x)y = f(x)y", dr where n is any real number, is called a Bernoulli equation. The following steps will outline how to solve the Bernoulli equation: dy xY e dx 2 2y (a) Rewrite the equation to match the general form outlined above. Find P(x), f(x), and n. 1-n = y'-(-1) = y² to rewrite the differential equation in terms of the (b) We will now use the substitution u du new dependent variable u. First, find dx " du from part (b) dx (c) Now, multiply both sides of your differential equation from part (a) by 2y and substitute u and into the differential equation. (d) You should have a linear, first-order differential equation with dependent variable u. Solve the equation from part (c). dy (e) Finally, substitute u = y² into your solution from part (d) to find the solution of hx 2y dx