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Unformatted text preview: a function that is suitable differentiable everywhere in A (i.e. has as
many derivatives as appear in the equation) and,
• satisﬁes the equation.
• Arbitrary constant  a constant that does not appear in the DE but arises while
solving the equation (usually at an integration step). More deﬁnitions  solutions
• Solution to a DE on some interval A
• a function that is suitable differentiable everywhere in A (i.e. has as
many derivatives as appear in the equation) and,
• satisﬁes the equation.
• Arbitrary constant  a constant that does not appear in the DE but arises while
solving the equation (usually at an integration step).
• A particular solution  a solution with no arbitrary constants in it. More deﬁnitions  solutions
• Solution to a DE on some interval A
• a function that is suitable differentiable everywhere in A (i.e. has as
many derivatives as appear in the equation) and,
• satisﬁes the equation.
• Arbitrary constant  a constant that does not appe...
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This note was uploaded on 02/12/2014 for the course MATH 256 taught by Professor Ericcytrynbaum during the Spring '13 term at The University of British Columbia.
 Spring '13
 EricCytrynbaum
 Math, Differential Equations, Logic, Equations, Partial Differential Equations

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