Question
Asked Oct 4, 2019
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Solve the initial-value problem.

dy/dx= x4/5, for x greater than or equal to 0 with y(0)=3

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Expert Answer

Step 1

Given,

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dy x' with y(0) 3

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Step 2

Solving the differential equation by seperating the variables, we get

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dy 5 Integrating on both sides, we get dy=d x° d* = n+1] +c y :+с > (1) 25

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Step 3

Now substituting the given condition ...

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Substituting y (0) 3, we get (0)' 3= 25 c 3

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Tagged in

Math

Calculus

Differential Equations