EBK CALCULUS: AN APPLIED APPROACH
EBK CALCULUS: AN APPLIED APPROACH
10th Edition
ISBN: 8220101426222
Author: Larson
Publisher: CENGAGE L
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Chapter A3, Problem 33E
To determine

To calculate: The simplified form of the expression 54x53.

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3. Consider the initial value problem 9y" +12y' + 4y = 0, y(0) = a>0: y′(0) = −1. Solve the problem and find the value of a such that the solution of the initial value problem is always positive.
5. Euler's equation. Determine the values of a for which all solutions of the equation 5 x²y" + axy' + y = 0 that have the form (A + B log x) x* or Ax¹¹ + Bä” tend to zero as a approaches 0.
4. Problem on variable change. The purpose of this problem is to perform an appropriate change of variables in order to reduce the problem to a second-order equation with constant coefficients. ty" + (t² − 1)y'′ + t³y = 0, 0
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