Differential Equations

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The integral character ∫

Method for solving linear differential equations:

  1. Put equation into standard form: dy/dx + f(x)y = g(x)
  2. Find the integrating factor: u(x) which is equal to e∫f(x)dx
  3. multiply the standard form by u(x)
  4. use the product rule on the left side: u(x)dy/dx +ydu/dx = d/dx(u(x),y(x))
  5. integrate both sides
  6. solve for y
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