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Prove the property
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- Use Euler method to approximate the value of y(0.1), given y' - x2 - y = 5 , y(0) = 2 with Δx = 0.025If x, y, and z are lengths of the edges of a rectangularbox, then the common length of the box’s diagonals iss = √(x2 + y2 + z2). How are dx/dt, dy/dt, and dz/dt related if s is constant?Find the general solution using reduction of order. 1. x2y''-xy'+y=0, y1=ln(x) 2. y''=ln(x) 3. y''+y'=cos(4x)