The differential equation d²y dy +4- dx² dx + 4y = 0 has auxiliary equation = 0 with roots Therefore there are two fundamental solutions Use these to solve the IVP d²y dy +4- + 4y = 0 dx2 dx y(0) = -6 y'(0) = 6 y(x): =

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A: NOTE: According to guideline answer of first three subpart can be given, for other please ask in a…

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A: The given differential equation is                           dydx= 4x+yx+yx2,   x>0 we solve the…

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Q: The general solution for the flowing differential equation is (3x²+ycosx) dx +(sinx-4y )dy =0

A: The equation is given by: 3x2+ycosxdx+sinx-4y3dy=0 The equation is of the form Px,ydx+Qx,ydy=0…

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Q: Example 11 : Find the equation of the curve satisfying the differential eguatio- dy (1+x?)+2xy= 4x²…

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