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Solution - Differential Equations - Quiz, Exercises of Differential Equations

Main points of this past exam are: Solution, Verify, Initial Condition, Constant, Satisfied, Find, Print

Typology: Exercises

2012/2013

Uploaded on 03/31/2013

parvani
parvani 🇮🇳

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Prof. S. Brick Differential Equations; Quiz 1 Math 238
Spring ’08 section 102
0. Print your name:
1. Show that y=excos(x) is a solution to y′′
−2y′+ 2y= 0.
2. Verify that y=Ce−x+x−1, where Cis a constant is a solution to y′=x−y. Then
find Csuch that the initial condition y(0) = 10 is satisfied.

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Prof. S. Brick Differential Equations; Quiz 1 Math 238

Spring ’08 section 102

  1. Print your name:
  2. Show that y = ex^ cos(x) is a solution to y′′^ − 2 y′^ + 2y = 0.
  3. Verify that y = Ce−x^ + x − 1, where C is a constant is a solution to y′^ = x − y. Then find C such that the initial condition y(0) = 10 is satisfied.