1 x 2 dy dx 2xy 4x 2

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See below Explanation Solve the following differential equations i 2x y 3 dxdy x 2y 1 ii x2 1 dxdy 2xy 4x2 The equation 1 x 2 dxdy xy x2y2 Find a particular solution satisfying the given condition for differential equations 1 x 2 dy dx 2xy 4x 2

1 x 2 dy dx 2xy 4x 2

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3 y 1 x 2 4 x 3 c Explanation for the correct answer Compute the required solution 1 x 2 d y d x 2 x y 4 x 2 0 d y d x 2 x y 1 x 2 4 x 2 1 x 2 i Equation i 14 957 views 9 months ago Differential Equation B Sc notes Solve 1 x 2 dy dx 2xy 4x 2 0 linear differential equation more more Solve

Solution Verified by Toppr Differential equation 1 x 2 dxdy 2xy 4x 2 dxdy 1 x 22x y 1 x 24x 2 It is a linear differential equation dxdy Py Q where P 1 x 22x Q 1 x 24x Find the equation of a curve passing through origin and satisfying the differential equation 1 x 2 dy dx 2xy 4x 2

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Exact 2xy 9x 2 2y x 2 1 frac dy dx 0 exact 2xy 9x 2 2y x 2 1 frac dy dx 0 y 0 3 exact 2xy 2 4 2 3 x 2y y Solve the differential equation dy dx 2xy 4x We can identify that the differential equation has the form frac dy dx P x cdot y x Q x so we can classify it as

Have come across an differential equation 1 x 2 frac d 2 y d x 2 2xy 4x 2 My approch The complete solution of Ordinary Given equation is 1 x 2 dy dx 2xy 4x 2 dy dx 2x 1 x 2 y 4x 2 1 x 2 Here P 2x 1 x 2 and Q 4x 2 1 x 2 Integrating factor

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1 x 2 dy dx 2xy 4x 2 - 3 y 1 x 2 4 x 3 c Explanation for the correct answer Compute the required solution 1 x 2 d y d x 2 x y 4 x 2 0 d y d x 2 x y 1 x 2 4 x 2 1 x 2 i Equation i