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Question : 20
Total: 36
Show that the function y = a x + 2 a 2 is a solution of the differential equation 2 (
) 2 + x (
) − y = 0
Solution: 👈: Video Solution
The given function is
y = a x + 2 a 2 ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ⋅ ( i )
Differentiating equation (i) w.r.t. 'x ', we get dy ∕ dx = a
Substituting the value of 'a' in equation, we get
y = x (
) + 2 (
) 2
⇒ 2 (
) 2 + x (
) − y = 0
Differentiating equation (i) w.r.t. '
Substituting the value of 'a' in equation, we get
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