1. Find the value(s) of m so that the function y = xm, x = 0 is a solution of the differential equation. x²y" 7xy' +12y = 0 2. Verify that the indicated expression is a solution for the given differential Equation. dy X x+y=; =/ x³y³ - 1 = x³

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
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1.
Find the value(s) of m so that the function y = xm, x = 0 is a solution of the differential equation.
x²y" - 7xy' +12y = 0
2. Verify that the indicated expression is a solution for the given differential Equation.
dy
xả x+y=
x³y³ - 1 = x³
dx
Transcribed Image Text:1. Find the value(s) of m so that the function y = xm, x = 0 is a solution of the differential equation. x²y" - 7xy' +12y = 0 2. Verify that the indicated expression is a solution for the given differential Equation. dy xả x+y= x³y³ - 1 = x³ dx
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ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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Pearson Addison Wesley,