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JEE Main Math Class 12 Differential Equations Part 1 Questions
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Question : 77
Total: 100
Statement 1:
The degrees of the differential equations
d
y
d
x
+
y
2
=
x
and
d
2
y
d
x
2
+
y
=
sin
x
are equal.
Statement 2:
The degree of a differential equation, when it is a polynomial equation in derivatives, is the highest positive integral power of the highest order derivative involved in the differential equation, otherwise degree is not defined.
[Online May 12, 2012]
Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.
Statement 1 is false, Statement 2 is true.
Statement 1 is true, Statement 2 is false.
Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1.
Validate
Solution:
Statement - 1
Given differential equations are
d
y
d
x
+
y
2
=
x
and
d
2
y
d
x
2
+
y
=
sin
x
Their degrees are 1 .
Both have equal degree.
Also, Statement -2 is the correct explanation for Statement -1
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