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# Solve the differential equation given that when

Answer :

Given:

This is a linear equation of first order of the for:

Therefore,

∴ The solution is given by,

⇒ y.x = x sin x + C

At

∴ C = 0

**∴** **y = sin x is the required solution.**

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PREVIOUSUsing integration, find the area of the region bounded by the triangle whose vertices are (-2, 1), (0, 4) and (2, 3).ORFind the area bounded by the circle and the line in the first quadrant, using integration.NEXTFind the equation of the plane through the line of intersection of and perpendicular to the plane Hence find whether the plane thus obtained contains the line ORFind the vector and Cartesian equations of a line passing through (1, 2, -4) and perpendicular to the two lines and

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