段階的に解決し、人工知能を使用せず、優れた仕事を行いますご支援ありがとうございましたSOLVE STEP BY STEP IN DIGITAL FORMATDON'T USE AI | DON'T USE AI DON'T USE AI DON'T USE AI |= e2x+y-5-2

The given differential equation is .To solve the differential equation.The integral formulas used…

Answered: SOLVE STEP BY STEP IN DIGITAL FORMAT…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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段階的に解決し、人工知能を使用せず、優れた仕事を行います
ご支援ありがとうございました
SOLVE STEP BY STEP IN DIGITAL FORMAT
DON'T USE AI | DON'T USE AI DON'T USE AI DON'T USE AI |
= e2x+y-5-2

Expert Solution

Step 1: Given

The given differential equation is

$y apostrophe equals e to the power of 2 x plus y minus 5 end exponent minus 2$ .

To solve the differential equation.

The integral formulas used are $integral e to the power of m x end exponent d x equals e to the power of m x end exponent over m plus c$ and $integral x to the power of n d x equals fraction numerator x to the power of n plus 1 end exponent over denominator n plus 1 end fraction plus c comma for all n not equal to negative 1$ where $c$ is an integrating constant.

In the method of separation of variables the variables of a first order differential equation can be separated on two sides of equality and each side can be integrated separately to obtain the solution of the differential equation.