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 59E: According to the solution in Exercise 58 of the differential equation for Newtons law of cooling,...
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In problem 1 and 2 compute ?′ and ?" and then compute these derivatives with y as a linear second
order differential equation that is free of constants ?? ??? ?? and has form ?(?, ??, ?") = 0
Transcribed Image Text:2
In problem 1 and 2 compute y' and y" and th
order differential equation that is free of con.
1. y = Cex + C2x e*
2. y = Ce*cosx + C2 e*sinx
In Problem 3-5 verify that the indicated functio
Give an interval of definition I for each solution
3. y" +y = 2 cos x - sin x;
y = x sinx +
4. y" + y = sec x;
y = x sin x + (cos x) Inc
5. x²y" + xy' + y = 0;
y = sin(ln x)
In Problem 6-8 verify that the indicated expressio
equation.
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