Transcription of Differential Equations Summary - a-levelmaths.com
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Differential Equations Summary - a-levelmaths.com
Differential Equations Summary 1. First order Differential Equations a. Variables Separable DE: Arrange through manipulation such that the form below is achieved: dyygdxxf)()(= Integrate subsequently to yield the required solution. Example: Solve ydxdy =1 for y<1. SOLUTIO : 1111= =dxdyyydxdy = dxdyy11 Cxy+= |1|ln Since ,1<y ()Cxy+= 1ln Bxey+ = 1 xAey =1 where BeA=, cB = (shown) This solution is commonly termed the GE ERAL SOLUTIO , where A is unknown.
Differential Equations Summary 1. First order differential equations a. Variables Separable DE: Arrange through manipulation such that the form below is achieved:
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