Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.CR: Chapter 11 Review
Problem 33CR
Related questions
Question
Find the particular solution of
the
the initial condition y(0) = 1.
Expert Solution
Step 1
the given differential equation is:
we have to find the particular solution of the given differential equation that satisfies the initial condition y(0)=1.
the differential equation can be written as:
Step 2
now integrate the both the sides of the equation,
therefore
let the integral be I.
therefore,
let
therefore,
Step 3
substitute these values in the integral I.
therefore,
now substitute the value of t that is in the integral I.
therefore,
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