6 A Obtain The General Solution Of The Differential Equation Dy Xy Y 0 Dx B Given Also That Y 1 At X 1 Show T 1 (54.77 KiB) Viewed 23 times
6. a) Obtain the general solution of the differential equation dy = xy?, y> 0 dx = b) Given also that y=1 at x =1 show that 2 y = - <3 <x<V3 3- x2 is a particular solution of the differential equation.
2 c) The curve C has equation y *+-13, x+13. = x # 2 3 - X i) ii) Write down the gradient of C at the point (1,1). Deduce that the line which is a tangent to C at the point (1,1) has equation y=x. Find the coordinates of the point where the line y = x again meets the curve C. iii)
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