How do you find the general solution of the differential equation dy/dx=2x^(−3)?

drobtinicnu

drobtinicnu

Answered question

2022-09-11

How do you find the general solution of the differential equation d y d x = 2 x - 3 ?

Answer & Explanation

Baluttor7

Baluttor7

Beginner2022-09-12Added 17 answers

This is a First Order separable DE, so we can rearrange and separate the variables as follows:

d y d x = 2 x - 3
d y = 2 x - 3 d x

Integrating gives:

y = 2 x - 2 - 2 + C
y = - 1 x 2 + C

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