Correct statement is/are

Important Questions on Differential Equations

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 32 - Differential Equations>Exercise-2>Q 30

Solution of the differential equation $\frac{dy}{dx}+\frac{1+y^2}{\sqrt{1-x^2}}=0$ is

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 32 - Differential Equations>Exercise-2>Q 31

The solution of $(x+y+1)dy=dx$ are

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 32 - Differential Equations>Exercise-2>Q 32

The solution of $\frac{dx}{dy}+y=y{e}^{\left(n-1\right)x}\left(n\ne 1\right)$

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 32 - Differential Equations>Exercise-2>Q 33

The general solution of $\left(2x^3-x{y}^2\right)dx+\left(2y^3-x^{2}y\right)dy=0$ is

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 32 - Differential Equations>Exercise-2>Q 34

The solution of a differential equation $f\left(x\right)\frac{dy}{dx}=f^2\left(x\right)+f\left(x\right)y+f^{\text{'}}\left(x\right)y$ is

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 32 - Differential Equations>Exercise-2>Q 35

The Solution of $x^2{y}_1^2+xy{y}_1-6y^2=0$ are

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 32 - Differential Equations>Exercise-2>Q 36

The solution of a differential equation ${\left(\frac{dy}{dx}\right)}^2-\frac{dy}{dx}\left(e^x+e^{-x}\right)+1=0$ is

HARD

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IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 32 - Differential Equations>Exercise-2>Q 37

If $y=e^{-x}\cos x$ and $y_n+k_{n}y=0,$ where $y_n=\frac{d^{n}y}{d{x}^n}$ and $k_n,n\in N$ are constants.Then