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The general solution of the equationd²y/dx²+dy/dx-30y=0(c1+c2 being consiantde dr |
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Answer» Here you go with this Step-by-step explanation:Explanation: d 2 y d X 2 − 8 d y d x = − 16 y best written as d 2 y d x 2 − 8 d y d x + 16 y = 0 △ which SHOWS that this is linear second order HOMOGENEOUS differential equation it has characteristic equation r 2 − 8 r + 16 = 0 which can be SOLVE as follows ( r − 4 ) 2 = 0 , r = 4 this is a repeated root so the general solution is in form y = ( A x + B ) e 4 xMare me the brainlist |
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