If the order of a differential equation \frac{d^2y}{dx^2}-2(\frac{dy}{dx})^3+\sin(\frac{dy}{dx})+ y =0 is l and the degree of the differential equation (1+\frac{d^2y}{dx^2})^{2/3} = [2-(\frac{dy}{dx})^3]^{3/2} is m , then the differential equation corresponding to the family of curves y = Ax^l+Be^{mx} , where A and B are arbitrary constants , is

Correct Answer is : (2x2−x)y" - (8x2−2)y′ + (16x - 4) y = 0

(4x^2-2x)y" + (16x^2-2)y' + (32x - 8) y = 0

(2x^2-x)y" + (8x^2-2)y' + (16x - 4) y = 0

(2x^2-x)y" - (8x^2-2)y' + (16x - 4) y = 0

(4x^2-2x)y" + (8x^2-1)y' + (16x - 4) y = 0

TS EAMCET 03 May 2019 Shift 2 Solved Paper

Section: Mathematics

Question : 78 of 160

Marks: +1, -0

If the order of a differential equation

d2y

dx2

−2(

)3+sin(

)+y=0 is l and the degree of the differential equation (1+

d2y

dx2

)

= [2−(

)3]

is m , then the differential equation corresponding to the family of curves y = Axl+Bemx , where A and B are arbitrary constants , is

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