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Second order linear differential equation initial value problem Sect 43 21
>> YOUR LINK HERE: ___ http://youtube.com/watch?v=-gi4GfbhrnI
/ professorleonard • How to solve Second Order Differential Equations by Reducing the order with a substitution. This particular technique is valid for equations missing the 'X' variable. • As far as the mistake on the video (example 1): Here is the worked out solution from the point of the Mistake • 1/c arctan(y/c) = x + d -- I'm using 'c' for 'c sub 2' and 'd' for 'c sub 3 • Multiply by 'c' ----- arctan(y/c) = cx + cd • Tangent on both sides ----- y/c = tan( cx + cd) • Multiply by 'c' ---- y = ctan( cx + cd) • Note!!! 'cd' is STILL a constant ---- call it 'B' and call the constant 'c' A • So we have ---- y = Atan(Ax + B) • Hope this helps!!
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