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Solve the following differential equatio...

Solve the following differential equations
`(dy)/(dx)=sinx*siny`

Text Solution

Verified by Experts

`dy-sinxsinydx=0`
or `int"cosec "ydy=intsinxdx`
or `log("cosec" y - "cot" y)=-cosx+logc`
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CENGAGE-DIFFERENTIAL EQUATIONS-Exercise (Single)
  1. The solution of the equation (dy)/(dx)=(x(2logx+1)/(siny+ycosy) is (a)...

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  2. The solution of the equation (x^2y+x^2)dx+y^2(x-1)dy=0 is given by (a)...

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  3. Solve the following differential equations (dy)/(dx)=sinx*siny

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  4. The solution of (d v)/(dt)+k/m v=-g is (a) ( b ) (c) v=c (d) e^(( e...

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  5. The general solution of the differential equation (dy)/(dx)+sin(x+y)/2...

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  6. if y+x(dy)/(dx)=x(phi(xy))/(phi'(xy)) then phi(xy) is

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  7. Find the solution of differential equation x^(2)=1 + (x/y)^(-1) (dy)/(...

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  8. The solution of the differential equation (x+(x^3)/(3!)+(x^5)/(5!)+)/...

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  9. The solution of the differential equation x=1+x y(dy)/(dx)+(x^2y^2)/(...

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  10. A curve passing through (2,3) and satisfying the differential equat...

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  11. The solution of the differential equation (d^2y)/(dx^2)=sin3x+e^x+x^2 ...

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  12. Find the solution of the differential equation y^(')y^(''')=3(y^(''))^...

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  13. The solution of the differential equation y^(prime prime prime)-8y^(pr...

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  14. The slope of the tangent at (x , y) to a curve passing through (1,p...

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  15. Solve x((dy)/(dx))=y(logy-logx+1)

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  16. The solution of differential equation x y^(prime)=x((y^2)/(x^2)+(f((y^...

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  17. The solution of (x^2+x y)dy=(x^2+y^2)dx is (a) ( b ) (c)logx=log(( d ...

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  18. The solution of (y+x+5)dy=(y-x+1)dx is

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  19. The slope of the tangent at (x , y) to a curve passing through a po...

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  20. Solution of the differential equation ydx-xdy+xsqrt(xy)dy=0 is

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