Question: The differential equation: dz + P(x)y = f(x)y. where n is any real number, is called a Bernoulli equation. The following steps will outline

The differential equation: dz + P(x)y = f(r)y

The differential equation: dz + P(x)y = f(x)y". where n is any real number, is called a Bernoulli equation. The following steps will outline how to solve the Bernoulli equation: (b) We will now use the substitution up dependent variable u. First, find dr y-y-y, z>0 (a) Rewrite the equation to match the general form outlined above. Find P(z), f(z), and n. to rewrite the differential equation in terms of the new (c) Now, multiply both sides of your differential equation from part (a) by -2y and substitute u and part (b) into the differential equation. du dr from (d) You should have a linear, first-order differential equation with dependent variable u Solve the equation from part (c). (e) Finally, substitute u = y2 into your solution from part (d) to find the solution of y-ry=y, x>0.

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