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9. Differential Equations
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Q11 of 118 Page 385

The number of arbitrary constants in the general solution of a differential equation of fourth order are:

As we know that the number of constant in the general solution of a differential equation of order n is equal to its order.


Thus, the number of constant in the general equation of fourth order differential equation is four.

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9

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

x + y = tan–1y : y2y′ + y2 + 1 = 0

10

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

12

The number of arbitrary constants in the particular solution of a differential equation of third order are:

1

In each of the question, form a differential equation representing the given family of curves by eliminating arbitrary constants a and b.

Questions · 118
9. Differential Equations
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