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Formulate-the-differential-equation-of-the-solution-a-y-Ae-bx-1-b-y-Asin-x-Bcos-x-




Question Number 226603 by Spillover last updated on 07/Dec/25
Formulate the differential  equation of the solution  (a)y=Ae^(bx+1)   (b)y=Asin x+Bcos x
$${Formulate}\:{the}\:{differential} \\ $$$${equation}\:{of}\:{the}\:{solution} \\ $$$$\left({a}\right){y}={Ae}^{{bx}+\mathrm{1}} \\ $$$$\left({b}\right){y}={A}\mathrm{sin}\:{x}+{B}\mathrm{cos}\:{x} \\ $$$$ \\ $$
Answered by mr W last updated on 07/Dec/25
(a)  y′−by=0  (b)  y′′+y=0
$$\left({a}\right) \\ $$$${y}'−{by}=\mathrm{0} \\ $$$$\left({b}\right) \\ $$$${y}''+{y}=\mathrm{0} \\ $$
Commented by Spillover last updated on 07/Dec/25
thanks
$${thanks} \\ $$

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