Solution Found!
The Bernoulli differential equation is (dy /dt) + a(t) y = b(t) y ". Multiplying through
Chapter 1, Problem 20(choose chapter or problem)
The Bernoulli differential equation is (dy /dt) + a(t) y = b(t) y ". Multiplying through by p(t) = exp , we can rewrite this equation in the form d/dt( p(t)y) = b(t) p(t) y ". Find the general solution of this equation by finding an appropriate integrating factor. Hint: Divide both sides of the equation by an appropriate function of y.
Questions & Answers
QUESTION:
The Bernoulli differential equation is (dy /dt) + a(t) y = b(t) y ". Multiplying through by p(t) = exp , we can rewrite this equation in the form d/dt( p(t)y) = b(t) p(t) y ". Find the general solution of this equation by finding an appropriate integrating factor. Hint: Divide both sides of the equation by an appropriate function of y.
ANSWER:Step 1 of 4
Consider the Bernoulli’s equation is,
Solve the equation as,
Since, and