The equation di iR + L- = E dt where R, L and E are constants arises in electrical circuit theory. This equation can be solved by separation of variables. Find the solution that satisfies the condition i(0) = 0. %3D

Q: Find a real general solution 5x^2 y"+23xy′+16.2y=0

A: Consider y=xm and solve using this substitution to obtain the required general solution.

Q: Solve ,  y" - 8y' + 15y=0

A: Given a differential equation, y''-8y'+15y=0

Q: Solve y" - 2y" +9y' - 18y = 0.

A: Given differential equation: We have to find the solution of the given differential equation.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.