Solution of different equation dy/dx = - y is _____?
- x = Ce⁻ˣ
- y = C⁻ˣe
- y = Ce⁻ˣ
- None of these
Explanation
The equation is separable:
dy/dx = –y
⇒ dy/y = –dx
⇒ ∫(1/y) dy = ∫(–1) dx
⇒ ln|y| = –x + C
⇒ y = Ce⁻ˣ (where C is the constant of integration)
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