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9. Differential Equations
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Q4 of 118 Page 385

In each of the question verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

It is given that y =

Now, differentiating both sides w.r.t. x, we get,









Therefore, LHS = RHS


Therefore, the given function is the solution of the corresponding differential equation.


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2

In each of the question verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

y = x2 + 2x + C : y′ – 2x – 2 = 0

3

In each of the question verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

y = cos x + C : y′ + sin x = 0

5

In each of the question verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

y = Ax : xy′ = y (x ≠ 0)

6

In each of the question verify that the given functions (explicit or implicit) is a solution of the corresponding differential equation:

y = x sin x : xy′ = y + x (x ≠ 0 and x > y or x < – y)

Questions · 118
9. Differential Equations
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