The differential equation for which $ax + by = 1$ is the general solution is:
- A$\frac{dy}{dx} = x + c$
- B$y \frac{d^2y}{dx^2} + x = 1$
- C$\frac{dy}{dx} = 0$
- D$\frac{d^2y}{dx^2} = 0$
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The equation which represents the system of parabolas whose axis is parallel to the $y$-axis satisfies the differential equation:
$A$ differential equation representing the family of parabolas with axis parallel to the $y$-axis and whose length of latus rectum is the distance of the point $(2, -3)$ from the line $3x + 4y = 5$,is given by:
DifficultJEE MAIN 2021
View SolutionThe differential equation corresponding to the family of curves given by $a x^2+b y^2=1$,where $a$ and $b$ are arbitrary constants,is:
The differential equation of the family of circles passing through the origin and having their center on the line $y=x$ is:
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View SolutionThe differential equation of the family of curves represented by the equation ${x^2} + {y^2} = {a^2}$ is
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