Solution of equation $\frac{d y}{d x}=\frac{3 x-4 y-2}{3 x-4 y-3}$ is

JEE MATHEMATICS MCQ: DIFFERENTIAL EQUATIONS

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Solution of equation

\frac{d y}{d x}=\frac{3 x-4 y-2}{3 x-4 y-3}

View answer and explanation

Correct option: B

x-y+c=\log (3 x-4 y+1)

Option B (

x-y+c=\log (3 x-4 y+1)

) is correct because it is the solution obtained by substituting

3x-4y=z

and integrating the resulting differential equation.

Practice All Chapter MCQs →

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\frac{d y}{d t}+\alpha y=\gamma e^{-\beta t}

\alpha>0, \beta>0

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\lim \limits_{{x \rightarrow \infty}} y(t)