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3. for ode yquot1xy0 y01 y01 averify that the series converges...

# Question: for ode yquot1xy0 y01 y01 averify that the series converges...

###### Question details

for ODE y"-(1+x²)y=0, y(0)=1, y'(0)=1,

(a)verify that the series converges for all finite values of x

(b)find the particular solution of the ODE