# Differential Equations construct an IVP with solution: y = 2x^{-3} + x^2.

## Question:

Differential Equations construct an IVP with solution: {eq}y = 2x^{-3} + x^2. {/eq}

## Differential Equation

The differential equation is an equation containing derivatives of the function that will represent the rate of change and the differential equation dependent variables with respect to a single independent variable.

Formula to differentiate the and integrated is given below:- {eq}\\ \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}\\ \displaystyle\int x^{n}dx=\dfrac{x^{n+1}}{n+1}+c {/eq}

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In the problem, we have to find the differential equation with the solution: {eq}y = 2x^{-3} + x^2 {/eq}

So differentiating the function, will... First-Order Linear Differential Equations

from

Chapter 16 / Lesson 3
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In this lesson you'll learn how to solve a first-order linear differential equation. We first define what such an equation is, and then we give the algorithm for solving one of that form. Specific examples follow the more general description of the method.