Find the general solution of the following differential equations: x²y"-3xy' + 5y = x² sin(Inx) b. x'y" - 2x³y" - x²y' + xy = 1 c. y' = ex+y +x²ey
Find the general solution of the following differential equations: x²y"-3xy' + 5y = x² sin(Inx) b. x'y" - 2x³y" - x²y' + xy = 1 c. y' = ex+y +x²ey
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Find the general solution of the following differential equations:
a. x²y"-3xy' + 5y = x² sin(lnx)
b. x¹y" - 2x³y" - x²y + xy = 1
c. y' = ex+y + x²ex
d. m-xdm = k (m² + m2)
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