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Attached below is the differential equations problem/question: Solve the given initial value problem with the differential equations technique: Separation of Variables. Use Separation of Variables exclusively for this problem. After solving, make sure to transform your solution to the explicit form of the solution. Use Separation of Variables exclusively for this problem.   y' + (t2cos(t))y = 0, y(0) = 1

Attached below is the differential equations problem/question: Solve the given initial value problem with the differential equations technique: Separation of Variables. Use Separation of Variables exclusively for this problem. After solving, make sure to transform your solution to the explicit form of the solution. Use Separation of Variables exclusively for this problem.   y' + (t2cos(t))y = 0, y(0) = 1

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Attached below is the differential equations problem/question:

Solve the given initial value problem with the differential equations technique: Separation of Variables. Use Separation of Variables exclusively for this problem. After solving, make sure to transform your solution to the explicit form of the solution. Use Separation of Variables exclusively for this problem.

 

y' + (t2cos(t))y = 0, y(0) = 1

 

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Step 1

To solve given initial value problem first we separated the variables and taking integral on both sides and solve.Then plugin the given initial condition and solve.

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