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Solve the following ordinary differential equations by separating variables and integration. 1. y'sinx=ylny, the boundary condition (b.c.)...

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Physics

Solve the following ordinary differential equations byseparating variables and integration.
1. y'sinx=ylny, the boundary condition (b.c.) is that the functionpasses through (y=e,x=pi/3)
2. y'+2xy2=0, b.c. (y=1;x=2)
3. y'-xy=x, b.c. (y=1;x=0)

Answer & Explanation Solved by verified expert
4.4 Ratings (811 Votes)
1 Here we haveseparating variablesintegrating on both sidesLet us make the substitution Then Substituting this back    See Answer
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