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प्रश्न
Find the value of m so that the function y = emx solution of the given differential equation.
y’ + 2y = 0
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उत्तर
y’ + 2y = 0 .......(1)
Given y = emx ........(2)
Differentiating equation (2) w.r.t x, we get
`("d"y)/("d"x)` = emx m
`("d"y)/("d"x)` = ym
`("d"y)/("d"x) - "m"y` = 0
`y"'"- "m"y` = 0 .........(3)
∴ Comparing equation (1) and (3)
We get m = – 2
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