# Choose the correct alternative. The differential equation of y = k1+k2x is - Mathematics and Statistics

MCQ

Choose the correct alternative.

The differential equation of y = k_1 + k_2/x is

#### Options

• (d^2y)/dx^2 + 2 dy/dx = 0

• x(d^2y)/dx^2 + 2 dy/dx = 0

• (d^2y)/dx^2 -2 dy/dx = 0

• x(d^2y)/dx^2 -2 dy/dx = 0

#### Solution

The differential equation of y = k_1 + k_2/x is x(d^2y)/dx^2 + 2 dy/dx = 0

Explanation

y = k_1 + k_2/x

∴ xy = xk1 + k2

Differentiating w.r.t. x, we get

y+x dy/dx = k_1

Again, differentiating w.r.t. x, we get

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

∴ x (d^2y)/dx^2 + 2 dy/dx = 0

Concept: Differential Equations
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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 8 Differential Equation and Applications
Miscellaneous Exercise 8 | Q 1.03 | Page 171
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