Verify that y = e x 3 5 cos ( 2 x ) 6 5 sin ( 2 x ) is a solution of the differential...


Verify that {eq}\displaystyle y = e^{-x} - \frac{3}{5} \cos(2x) - \frac{6}{5} \sin(2x){/eq} is a solution of the differential equation {eq}\displaystyle \frac{dy}{dx} + y = -3 \cos(2x){/eq}.

Differential Equation:

A differential equation is an equation between a specified derivative on an unknown function, its values, and unknown quantities and functions. Many physical laws are most simply and naturally formulated as a differential equation. Ordinary differential equations are whose unknown functions are the function of a single variable.

Answer and Explanation: 1

Become a member to unlock this answer!

View this answer


The differential equation is given as {eq}\dfrac{{dy}}{{dx}} + y = - 3\cos \left( {2x} \right) {/eq}

To verify that {eq}y = {e^{ - x}} -...

See full answer below.

Learn more about this topic:

Separable Differential Equation: Definition & Examples


Chapter 16 / Lesson 1

Discover what separable differential equations are and their uses. Learn to identify if an equation is separable and how to solve them through given examples.

Related to this Question

Explore our homework questions and answers library