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Solve-dy-dx-3x-5-




Question Number 54460 by Azmal sheikh last updated on 03/Feb/19
Solve (dy/dx)+3x=5
$${Solve}\:\frac{{dy}}{{dx}}+\mathrm{3}{x}=\mathrm{5} \\ $$
Answered by tanmay.chaudhury50@gmail.com last updated on 03/Feb/19
(dy/dx)=5−3x  dy=(5−3x)dx  ∫dy=∫(5−3x)dx  y=5x−((3x^2 )/2)+c
$$\frac{{dy}}{{dx}}=\mathrm{5}−\mathrm{3}{x} \\ $$$${dy}=\left(\mathrm{5}−\mathrm{3}{x}\right){dx} \\ $$$$\int{dy}=\int\left(\mathrm{5}−\mathrm{3}{x}\right){dx} \\ $$$${y}=\mathrm{5}{x}−\frac{\mathrm{3}{x}^{\mathrm{2}} }{\mathrm{2}}+{c} \\ $$

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