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Find the orthogonal trajectories of {x}{y}=
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Find the orthogonal trajectories of

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Question 1
Let be a solution of the differential equation If , then which of the following statements is (are) true? (a) (b) (c) has a critical point in the interval (d) has no critical point in the interval

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Question 2
Find the general solution of the following differential equation : \displaystyle{\left({1}{y}{2}\right)}+\frac{{{\left({x}-{e}^{\text{tan}}^{\left({\left(-{1}_{\text{y}}\right)}\right)}\right)}{\left.{d}{y}\right.}}}{{{\left.{d}{x}\right.}}}={0}

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Question 3
The differential equations, find a particular solution satisfying the given condition: when

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Question 4
Find the particular solution of the following differential equation satisfying the given condition :when

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Find the orthogonal trajectories of