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Solve the IVP {eq}x'-5x=15e^{5t}, x(2)=20e^{10}{/eq}

Question:

Solve the IVP {eq}x'-5x=15e^{5t}, x(2)=20e^{10}{/eq}

Particular Solution:

The solution of the differential equation in which the initial values are given is known as the particular solution. We have to find out the particular solution of the given differential equation. We will use the integrating factor method to solve the given differential equation.

Answer and Explanation: 1

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Given:

$$x'-5x=15e^{5t} $$

The given differential equation is a first-order linear differential equation so, comparing with {eq}\dfrac{\text{...

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Separable Differential Equation: Definition & Examples

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Chapter 16 / Lesson 1
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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.


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