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# The differential equation of y=c/x+c^2 is - HSC Science (Electronics) 12th Board Exam - Mathematics and Statistics

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ConceptGeneral and Particular Solutions of a Differential Equation

#### Question

The differential equation of y=c/x+c2 is :

(a)x^4(dy/dx)^2-xdy/dx=y

(b)(d^2y)/dx^2+xdy/dx+y=0

(c)x^3(dy/dx)^2+xdy/dx=y

(d)(d^2y)/dx^2+dy/dx-y=0

#### Solution

(a)

y=c/x+c^2..........(i)

Differentiating w.r.t.x,

dy/dx=c/x^2...........(ii)

(dy/dx)^2=(-c/x^2)^2

(dy/dx)^2=c^2/x^4

x^4(dy/dx)^2=c^2

x^4(dy/dx)^2=y-c/x ["From " (i)]

x^4(dy/dx)^2=y+xdy/dx

x^4(dy/dx)^2-xdy/dx=y

Is there an error in this question or solution?

#### APPEARS IN

2014-2015 (March) (with solutions)
Question 4.1.3 | 2.00 marks

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Solution The differential equation of y=c/x+c^2 is Concept: General and Particular Solutions of a Differential Equation.
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