Who can tell me what's the Deffrential equation of of this general equation y=(Ae^5x)+(Bxe^5x) please 😊😊
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Hi Hama Please note that if a differential equation has a repeated root of characteristics equation then the solution will be
Another way (if you do not know about the characteristic equation): from , and . Subtracting 10 times the second equation from the third, . Adding 25y eliminates the arbitrary constants, A and B, and gives .
Originally Posted by Hama Who can tell me what's the Deffrential equation of of this general equation y=(Ae^5x)+(Bxe^5x) please ���� There is no single differential equation for any function.
On the other hand, here we have a family of functions, not a single function. What HaiLiang and I give is the simplest linear differential equation having every member of the given family as solution and no other solutions.