Question

Solve the following differential equation by using integrating factors: (x⁶)

Answer 1

To solve the given differential equation using integrating factors, follow the steps of identifying the integrating factor, multiplying both sides of the equation, rewriting the left side, and integrating both sides.

Step-by-step explanation:

To solve the differential equation using integrating factors, we need to follow these steps:

1. Identify the integrating factor, which is the function multiplying the differential equation
2. Multiply both sides of the equation by the integrating factor
3. Rewrite the left side of the equation as the derivative of the product of the integrating factor and the unknown function
4. Integrate both sides of the equation and solve for the unknown function

In this specific case, the integrating factor is (x⁶). By multiplying both sides of the equation by (x⁶) and following the steps outlined above, you can find the solution to the differential equation.