← Differential Equations

How to solve

When y' depends only on x, integrate to get y up to a constant, then use the initial condition.

Steps

  1. Antidifferentiate the right-hand side.
  2. Add + C.
  3. Substitute the initial condition to solve for C, and write the full y.

Example

y' = 2x + 3, y(0) = 2.

  1. y = x² + 3x + C.
  2. y(0) = C = 2.

Answer: y=x^2+3x+2

How to type answers

  • Type it like y=x^2+3x+2
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