MATH 2414 Lecture Notes - Lecture 6: Handshape, Horse Length
5 Oct 2018
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Document Summary
A differential equation is an equation which involves the derivatives of a function usually theserelate an unknown function with its derivatives and thegoal digdx cos. Kx dez f 2f 31 6 functionswhich satisfythe equation ex is to end all cosx dy d y sinx c. P ekt c trivial solution assumek is constant. X asint1 boost dx at acost b sint d2x. Asinc boost x f 2f 31 0 fad_ex and fu e. Verify that f x _ex f x e f cx e ef2e 30 0 plugintoequation validsolution. 3x aresolutions to the equation fad e f x. Since a differential equation will yield a family of solutions in many information is used to find a single specific cases some additional solution this usually takes the form of initial conditions like. S ct 3t2 and sco s t3 c sce 3e. C s findoriginalequation make use of additional information find c.
