Find the Differential Equation given the General Solution y = C_1 + C_2x + C_3e^(4x)

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Find the Differential Equation given the General Solution y = C_1 + C_2x + C_3e^(4x)
  1. The Math Sorcerer
  2. Equation
  3. Math
  4. differential equation
  5. differential equations
  6. mathematics
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My teacher surprised with a question similar to this in a quiz. I messed up of course since we never took such a question. I'm looking it up just in case we get surprised again in my upcoming exam. BUT MY GOD IT TURNS OUT TO BE SO EASY. Thank you for this!

halooshka
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So happy you did an example with this little variation. Thank you for the help! :D

snicker.doodlez
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How would you find the DE if the third term C_3e^(4x) wasn't present? Meaning it would just be y= C_1 + C_2x

AwkwardShinobi-fszo