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  3. (3 pts) solve the initial value problem 25y???20y?

(3 pts) Solve the initial value problem 25y???20y?+4y=0, y(5)=0, y?(5)=?e2. (3 pts) Solve the initial value problem y??...

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Advance Math

  1. (3 pts) Solve the initial value problem
    25y???20y?+4y=0, y(5)=0, y?(5)=?e2.

  2. (3 pts) Solve the initial value problem
    y?? ? 2?2y? + 2y = 0, y(?2) = e2, y?(?2) = 2?2e2.

  3. Consider the second order linear equation t2y??+2ty??2y=0,t>0.

    1. (a) (1 pt) Show that y1(t) = t?2 is a solution.

    2. (b) (3 pt) Use the variation of parameters method to obtain asecond solution and a general solution.

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summary For que 1 we first simolify given differentialequation in standard form Then we    See Answer
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