Rajasthan Board RBSE Class 12 Maths Chapter 12 Differential Equation Ex 12.5
Solve the following differential equations :
Question 1.
(x + y)2 \(\frac { dy }{ dx } \) = a2
Solution:
Given equation
Question 2.
\(\frac { dy }{ dx } \) = \(\frac { 1 }{ x+y+1 } \)
Solution:
Question 3.
cos (x + y) dy = dx
Solution:
Question 4.
ex+y = 1 + \(\frac { dy }{ dx } \)
Solution:
Question 5.
(x + y) (dx – dy) = dx + dy
Solution:
Question 6.
Solution:
Question 7.
x+ +y = sin-1 (\(\frac { dy }{ dx } \))
Solution:
Question 8.
\(\frac { dy }{ dx } \) = \(\frac { 1 }{ x-y } \) + 1
Solution:
Question 9.
\(\frac { dy }{ dx } \) = sec (x + y)
Solution:
Question 10.
Solution:
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