find the differential equation 𝑦=2A𝑥^4+4B𝑥^3−6C𝑥^2+5D𝑥 +11E
𝑦′=(2A𝑥4+4B𝑥3−6C𝑥2+5D𝑥+11E)′=(2A𝑥4)′+(4B𝑥3)′−(6C𝑥2)′+(5D𝑥)′+(11E)′=8Ax3+12Bx2−12Cx+5D.𝑦'=(2A𝑥^4+4B𝑥^3−6C𝑥^2+5D𝑥 +11E)'=\\(2A𝑥^4)'+(4B𝑥^3)'−(6C𝑥^2)'+(5D𝑥 )'+(11E)'=\\8Ax^3+12Bx^2-12Cx+5D.y′=(2Ax4+4Bx3−6Cx2+5Dx+11E)′=(2Ax4)′+(4Bx3)′−(6Cx2)′+(5Dx)′+(11E)′=8Ax3+12Bx2−12Cx+5D.
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