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Thus, the given function is the solution of the corresponding differential equation.
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Hence, the given function is the solution of the corresponding differential equation.
Hence, the given function is the solution of the corresponding differential equation.
Solution :
Given: y = √1 + x
2
Hence, the given function is the solution of the corresponding differential equation.
Hence, the given function is the solution of the corresponding differential equation.
Question
6.
Solution :
Given: y = x sin x
Differentiating both sides of this equation with respect to
x
, we get:
Hence, the given function is the solution of the corresponding differential equation.
Solution :
Given: xy = log y + C
Differentiating both sides of this equation with respect to
x
, we get:
Hence, the given function is the solution of the corresponding differential equation.
Question
8
. y – cos y = x : (y sin y + cos y + x) y′ = y
Solution :
Given: y – cos y = x
Differentiating both sides of the equation with respect to
x
, we get:
Hence, the given function is the solution of the corresponding differential equation.
Question
9.
x + y = tan
-1
y : y
2
y' + y
2
+ 1 = 0
Solution :
Given: x + y = tan
-1
y
Differentiating both sides of this equation with respect to
x
, we get:
Hence, the given function is the solution of the corresponding differential equation.
Question
10.
Solution :
Given: y = √a
2
- x
2
Differentiating both sides of this equation with respect to
x
, we get:
Hence, the given function is the solution of the corresponding differential equation.
