What is a solution to the differential equation y dy/dx=e^x with y(0)=4?

ubumanzi18 2022-09-12 Answered
What is a solution to the differential equation y d y d x = e x with y(0)=4?
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Answers (1)

Dante Patton
Answered 2022-09-13 Author has 10 answers
this is separable and has already been separated
so we integrate both side wrt x
y d y d x   d x = e x   d x
= y   d y = e x   d x
y 2 2 = e x + C
applying the IV
4 2 2 = e 0 + C C = 7
y 2 2 = e x + 7

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