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Q23Section A (Section A)23 of 60

Solution of a first-order linear differential equation

Let y(x)y(x) be the solution to the differential equation

x4dydx+4x3y+sin⁡x=0;y(π)=1,x>0.x^4\frac{dy}{dx}+4x^3y+\sin x=0;\quad y(\pi)=1, x>0.

Then y(π2)y\left(\frac\pi2\right) is

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