Solution of different equation dy/dx = - y is _____? - IQ786

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Solution of different equation dy/dx = - y is _____?

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)