Question
If $\frac{\text{dy}}{\text{dx}}=3$ then y is equal to:
  1. 3x
  2. 0
  3. 3x + c
  4. $\frac{\text{x}}{3}+\text{c}$

Answer

  1. 3x + c

Solution:

$\frac{\text{dy}}{\text{dx}}=3$

$\text{dy}=3\text{dx}$

$\int\text{dy}=\int3\text{dx}=3\text{x}+\text{c}$

$\therefore\text{y}=3\text{x}+\text{c}$

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