Mathematics - Differential Equation Question with Solution | TestHub

MathematicsDifferential EquationGeneral (Order/degree/formation)Medium2 minQB

MathematicsMediumsingle choice

The differential equation whose solution is $(x - h)^{2} + (y - k)^{2} = a^{2}$ is (a is a constant)

Answer:

Solution:

$(x - h)^{2} + (y - k)^{2} = a^{2}$ ....(1)

$2 (x - h) + 2 (y - k) \frac{d y}{d x} = 0 \dots$ ....(2)

$2 (x - h) + 2 (y - k) \frac{d y}{d x} = 0 \dots$ ....(3)

From (3) we have ( $y - k$ ), use in (2) to get ( $x - h$ ) and put( $x - h$ ) and( $y - k$ ) in(1)

Stream:JEESubject:MathematicsTopic:Differential EquationSubtopic:General (Order/degree/formation)

⏱ 2mℹ️ Source: QB

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