Question

c. $y'' - y' = \sin x$, $0 < x < 1$, $y'(0) = 0$, $y(\pi) = 0$ d. $xy'' + y' = \frac{1}{x \ln x}$, $1 < x < e$, $y(1) = 0$, $y'(e) = 0$.

          c. $y'' - y' = \sin x$, $0 < x < 1$, $y'(0) = 0$, $y(\pi) = 0$
d. $xy'' + y' = \frac{1}{x \ln x}$, $1 < x < e$, $y(1) = 0$, $y'(e) = 0$.

c. y” - y' = sin x, 0 < x < 1, y'(0) = 0, y(π) = 0
d. xy” + y' = (1)/(x ln x), 1 < x < e, y(1) = 0, y'(e) = 0.

Added by Daniela S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

07/12/2023

Step 1

To solve the boundary value problem using Green's function method, we first need to find the Green's function for the differential equation y'' - y = sin(x) with boundary conditions y'(0) = 0 and y(1) = 0. Show more…

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c. xy^('')+y^(')=(1)/(xlnx),1.y^('')-y^(')=sinx,0 d. xy^('')+y^(')=(1)/(xlnx),1. Solve the following boundary value problems using both the Green’s function method, and Lagrange’s method of variation of parameters. C. y"-y = sinx, 0< x<1, y'(0) = 0,y() =0 d. xy"+y'=1/(x lnx), 1< x < e, y(1) = 0,y'(e) = 0