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Engineering Mathematics Question on Higher order linear ODEs with constant coefficients

Consider the ordinary differential equation x2d2ydx2xdydx3y=0,x^2 \frac{d^2y}{dx^2} - x \frac{dy}{dx} - 3y = 0,
with the boundary conditions y(x=1)=2y(x = 1) = 2 and y(x=2)=172y(x = 2) = \frac{17}{2}. The solution y(x)y(x) at x=32x = \frac{3}{2}, rounded off to 2 decimal places, is __________.

Answer

The correct Answers is :4.00 or 4.08 Approx