Tutorial Exercise Find the general solution of the differential equation. xy + y' = 37x

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
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 16E: Find the general solution for each differential equation. Verify that each solution satisfies the...
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Tutorial Exercise
Find the general solution of the differential equation.
xy + y' = 37x
Step 1
Adopt the method of separation of variables.
Recall that in this method, the equation is rewritten in such a way that each variable occurs only on one side
of the equation.
The given equation is
xy + y' = 37x.
Rewrite the equation to separate the variables.
y' = 37x -
y'
(37
37
Enter a mathematical expression.
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Transcribed Image Text:Tutorial Exercise Find the general solution of the differential equation. xy + y' = 37x Step 1 Adopt the method of separation of variables. Recall that in this method, the equation is rewritten in such a way that each variable occurs only on one side of the equation. The given equation is xy + y' = 37x. Rewrite the equation to separate the variables. y' = 37x - y' (37 37 Enter a mathematical expression. Submit Skip (you cannot come back) ||
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