Verify that the function is a solution of the differential equation on some interval, for any choice of the arbitrary constants appearing in the function y = (₁ + c₂x) e² + sinx+x²; y" - 2y'+y=-2 cos x + x² - 4x +

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Verify that the function is a solution of the differential equation on some interval,
for any choice of the arbitrary constants appearing in the function
y = (C₁ + c₂x) e + sinx+x²; y" - 2y'+y=-2 cos x + x² - 4x +
Transcribed Image Text:Verify that the function is a solution of the differential equation on some interval, for any choice of the arbitrary constants appearing in the function y = (C₁ + c₂x) e + sinx+x²; y" - 2y'+y=-2 cos x + x² - 4x +
'erify that the function is a solution of the differential equation on some interval,
or any choice of the arbitrary constants appearing in the function
I=
(C₁+C₂x) e + sinx+x²; y" - 2y'+y=-2 cos x + x²
-
4x + 2
Transcribed Image Text:'erify that the function is a solution of the differential equation on some interval, or any choice of the arbitrary constants appearing in the function I= (C₁+C₂x) e + sinx+x²; y" - 2y'+y=-2 cos x + x² - 4x + 2
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