Asked by Connor
Classify the following differential equations as linear or nonlinear:
3x' +5x=7t^2
4x^2+2x+5tx=0
3x' +5x=7t^2
4x^2+2x+5tx=0
Answers
Answered by
Steve
Evidently you have not reviewed the definition of a linear DE:
A differential equation is <b>linear</b> if the unknown function and its derivatives appear to the power 1 (products of the unknown function and its derivatives are not allowed) and nonlinear otherwise.
So, the first above is linear, and the second is not.
A differential equation is <b>linear</b> if the unknown function and its derivatives appear to the power 1 (products of the unknown function and its derivatives are not allowed) and nonlinear otherwise.
So, the first above is linear, and the second is not.
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