Differential Equation with Differentiable Funct… | ExamDuo
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First Order Differential Equations
Medium
Differential Equation with Differentiable Function
If ϕ(x) is a differentiable function, then the solution of the differential equation dy + {yϕ'(x) – ϕ(x) ϕ'(x)} dx = 0, is
SELECT ONE OPTION
A
y = {ϕ(x) – 1} + Ce
-ϕ(x)
B
yϕ(x) = {ϕ(x)}² + C
C
ye
ϕ(x)
= ϕ(x) e
ϕ(x)
+ C
D
y – ϕ(x) = ϕ(x) e
-ϕ(x)
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