MCQs of Differential Equations of First Order (Mathematics - II - 3110015)

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The degree of the differential equation

{[1 + {(\frac{d y}{d x})}^{3}]}^{\frac{2}{3}} = x (\frac{d^{2} y}{d x^{2}})

y^{'} + y = \frac{5}{y^{'}}

has degree

The order and degree of

{(\frac{d^{3} y}{d x^{3}})}^{2} + {(\frac{d^{2} y}{d x^{2}})}^{3} + y = 0

are ........ respectively.

The order and degree of the differential equation

\frac{d y}{d x} + x^{2} \frac{d^{2} y}{d x^{2}} + x y = \sin (x)

are ......... respectively.

The order of equation

e^{x} d x + e^{y} d y = 0

is......

The order and degree of differential equation

\sqrt{{(\frac{d y}{d x})}^{4} + 4} = {(\frac{d^{2} y}{d x^{2}})}^{6}

is ...... and ....... respectively.

{(\frac{d^{2} y}{d x^{2}})}^{3} + {(\frac{d y}{d x})}^{4} + y = \sin (x)

is differential equation with degree ....... and order ........

The order of a differential equation whose general solution is

y = A \sin (x) + B \cos (x)

is .........

A solution which can’t be obtained from a general solution is called…....solution.

10.

The solution obtained from the general solution by giving a particular value to the arbitrary constant or constants is called a …… solution.

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