y=ae^x+be^-x is general solution of d²y/dx².find particular solution when x=0,y=3 and x=1,y=0
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y=ae^x+be^-x
differentiate w.r.t x
dy/dx=ae^x -be^-x
differentiate again w.r.t x
d2y/dx2= ae^x+be^-x
d2y/dx2=y
whenx=0 ,y=3
d2y/dx2=3
when x=1 and y=0
d2y/dx2=0
Step-by-step explanation:
derivative of e^x=e^x
derivative of e^-x= -e^-x
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