3 votes 3 votes Number of solutions of the ordinary differential equation. $\frac{d^{2}y}{dx^{2}}-y=0, y(0)=0, y(\pi )=1$ is 0 is 1 is 2 None of the above Calculus tifrmaths2010 calculus + – makhdoom ghaya asked Oct 12, 2015 • edited Aug 18, 2020 by soujanyareddy13 makhdoom ghaya 537 views answer comment Share Follow See all 0 reply Please log in or register to add a comment.
0 votes 0 votes Consider y=e^(mx) m^2-m=0 m(m-1)=0 Characteristic eqn : y=c2.e^x+c1 c2+c1=0 for x=0 c2.e^(pi)+c1=1 for x= pi c2(e^(pi)-1)=1 c2=1/(1-e^(pi)) c1=-1/(1-e^(pi)) zambus answered Dec 9, 2015 zambus comment Share Follow See 1 comment See all 1 1 comment reply Kaluti commented Sep 7, 2017 reply Follow Share is answer 2 here 0 votes 0 votes Please log in or register to add a comment.