NDA 2018 Paper 2 | Differential Equations Question 20 | Mathematics

What is the order of the differential equation whose solution is $$y = a\cos x + b\sin x + c{e^{ - x}} + d$$, where a, b, c and d are arbitrary constants?

NDA 2018 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

What is the solution of the differential equation $$\ln \left( {{{dy} \over {dx}}} \right) = ax + by$$?

$$a{e^{ax}} + b{e^{by}} = C$$

$${1 \over a}{e^{ax}} + {1 \over b}{e^{by}} = C$$

$$a{e^{ax}} + b{e^{ - by}} = C$$

$${1 \over a}{e^{ax}} + {1 \over b}{e^{ - by}} = C$$

NDA 2018 Paper 2

MCQ (Single Correct Answer)

+2.5

-0.83

What is the solution of the differential equation $${{dx} \over {dy}} = {{x + y + 1} \over {x + y - 1}}$$ ?

Where, C is an arbitrary constant.

$$y - x + 4\ln (x + y) = C$$

$$y + x + 2\ln (x + y) = C$$

$$y - x + \ln (x + y) = C$$

$$y + x + 2\ln (x + y) = C$$

NDA 2018 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

What is the solution of the differential equation

$$x\,dy - y\,dx = 0$$ ?

xy = C

y = Cx

x + y = C

x $$-$$ y = C

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