Solve the following ODES by Inverse Operator method. 2X -X • (D²³+1) y = 3 + 2*² + 5 € Ans : y = C₁ e ² + ¹² ( C₂ cos√3x + C3 sin √2x) + 3 + XC + 22x X/2 -X 5 2X

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 44E
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2 Solve the following ODES by Inverse Operator method.
• (D²³+1) y = 3 + 2x +52.
-X
X/2
te
2X
Ans: y=c₁e²+ ¹² (C₂ cos2x + C3 sin √3x) +3 + x² 5 2x
+
3 9
Transcribed Image Text:2 Solve the following ODES by Inverse Operator method. • (D²³+1) y = 3 + 2x +52. -X X/2 te 2X Ans: y=c₁e²+ ¹² (C₂ cos2x + C3 sin √3x) +3 + x² 5 2x + 3 9
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