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Solve the following initial value proble...

Solve the following initial value problems: `(22-26)` `sin((dy)/(dx))=k ; y(0)=1`

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Verified by Experts

Given:
`sin((dy)/(dx))=k ; y(0)=1`
`(dy)/(dx)=sin^(-1)k`
`(dy)=sin^(-1)kdx`
Then
`int(dy)=intsin^(-1)kdx`
`y=intsin^(-1)kdx+c`
`y=xsin^(-1)k+c`
...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
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  2. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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  3. Solve the following initial value problems: (22-26) sin((dy)/(dx))=k ...

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  4. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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  8. Solve: log((dy)/(dx))=a x+b y

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  12. Solve the initial value problem: x(xdy+ydx)=ydx ,y(1)=1.

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  13. Solve: (dy)/(dx)=ysin2x it being given that y(0)=1.

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  14. Solve the initial value problem: (xdy+ydx)=xy dx ,y(1)=1.

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