Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation. \frac{dy}{dx}=4e^{-3x}

Armorikam 2021-03-21 Answered
Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation.
dydx=4e3x
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insonsipthinye
Answered 2021-03-23 Author has 83 answers
Step 1: Given that to
Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation.
dydx=4e3x
Step 2: Solve
The given differential equation is a type of Variable Separable differential equation.
So, to solve this type of differential equation we have,
dydx=4e3x
dy=4e3x.dx
Integrating both sides we obtain,
dy=4e3.dx
y=4[e3x3]+C
y=43e3x+C
3y=4e3x+3C
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Jeffrey Jordon
Answered 2021-11-19 Author has 2027 answers

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