The order of the differential equation 2 x2d2 y-d x2-3 d y-d x-y-0 isa 2b 1c zerod None of these

The highest order derivative present in the given differential equation is d^2y/dx^2. Therefore, its order is two. Hence, (a) is the correct option. ...

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Standard XII

Mathematics

Order of a Differential Equation

The order of ...

Question

The order of the differential equation
$2 x^{2} \frac{d^{2} y}{d x^{2}} - 3 \frac{d y}{d x} + y = 0$ is
(a) 2
(b) 1
(c) zero
(d) None of these

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Solution

The highest order derivative present in the given differential equation is $\frac{d^{2} y}{d x^{2}} .$ Therefore, its order is two. Hence, (a) is the correct option.

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The order of the differential equation 2x2d2ydx2−3dydx+y=0 is (a) 2 (b) 1 (c) zero (d) None of these

The highest order derivative present in the given differential equation is d2ydx2. Therefore, its order is two. Hence, (a) is the correct option.

The order of the differential equation
$2 x^{2} \frac{d^{2} y}{d x^{2}} - 3 \frac{d y}{d x} + y = 0$ is
(a) 2
(b) 1
(c) zero
(d) None of these

The highest order derivative present in the given differential equation is $\frac{d^{2} y}{d x^{2}} .$ Therefore, its order is two. Hence, (a) is the correct option.