Problem 16 solve the IVP. -00o Ust =4 Ихя U (0,0) = ēt² 44 (410) = xe² xẻ étez -x² Ans. U(216) = 1/2 [ -002x200 Any integral must be evaluated. thent use He D'Alembert's solution. -(x-2)² + __(+20)² = (2-2)²2) - Paz 2 - e

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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16
Problem 16
solve the IVP.
Ust =4 Инж
((x,0) = èx²
4₂ (110) = x=²
Any integral must be evaluated.
thent use He D'Alembert's solution.
Ans.
U(2₁6) = 1/2 [
-00 2x200, t>o
-x²
4
-002x200
~_~(2+28) ² =(26-28)²2) -- Puzz
{
-(x-2)²
1
Transcribed Image Text:Problem 16 solve the IVP. Ust =4 Инж ((x,0) = èx² 4₂ (110) = x=² Any integral must be evaluated. thent use He D'Alembert's solution. Ans. U(2₁6) = 1/2 [ -00 2x200, t>o -x² 4 -002x200 ~_~(2+28) ² =(26-28)²2) -- Puzz { -(x-2)² 1
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