Example 2 Solve the following differential equation. 2y(4) +11y(3) +18y′′ +4y′ −8y = 0 2 y ( 4) + 11 y ( 3) + 18 y ″ + 4 y ′ − 8 y = 0 Show Solution Example 3 Solve the following

Example 1. Solve the differential equation Solution. It is easy to see that the polynomials and respectively, at and are homogeneous functions of the first order. Therefore, the original

545+
Consultants

4.8/5
Quality score

73372+
Customers

Simplify: x y + y x. Reciprocal of first term: ( y x )-1 + y x. Yes, we have a function of y x. So let's go: Start with: dy dx = ( y x )-1 + y x. y = vx and dy dx = v + x dv dx: v + x dv dx = v-1 + v. Subtract v from both sides: x dv dx = v-1. Now use

Deal with mathematic problems

Math can be tough, but with a little practice, anyone can master it.

Explain mathematic questions

Math is the study of numbers, shapes, and patterns.

Deal with mathematic equations

I can help you with any mathematic task you need help with.

Let us show you two examples to demonstrate how a differential equation looks when it is homogeneous and when it is non-homogeneous. y ′ ′ cos x – y sin x = y ′ We can rewrite the

Get detailed step-by-step answers

If you're looking for detailed, step-by-step answers, you've come to the right place. Our expert team is here to help you with all your questions.

Decide math tasks

I can help you with your math tasks.

More than just an application

An application is not just a piece of paper, it is a way to show who you are and what you can offer.

What is a solution set Mixed water temperature calculator The scale on a map of virginia shows How do you graph inequalities Step by step problem solving Write as a product of two polynomials calculator Standard form from two points calculator Solve each system by elimination solver What is a expression in math Math dividend Calculator with imaginary numbers Circuit math How to solve cube root How to type cubed root on calculator Diagonalization calculator Multiply by pi calculator