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Find the solution of the differential equation `y^(')y^(''')=3(y^(''))^(2)` is

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`y^(')y^(''')=3(y^(''))^(2)`
or `inty^(''')/y^('')dx=3inty^('')/y^(')dx`
or `" In"y^('')=3 " ln" y^(')+" lnc"`
or `inty^('')/(y^('))^(2)dx=intcy^(')`dx
or `-1/y^(')=cy+d`
or `-dx=(cy+d)dy`
or `-x=(cy^(2))/2+dy+e`
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CENGAGE-DIFFERENTIAL EQUATIONS-Exercise (Single)
  1. A curve passing through (2,3) and satisfying the differential equat...

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

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

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

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

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

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

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

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

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

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

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  12. The solution of (x^2dy)/(dx)-x y=1+cosy/x is (a) ( b ) (c)tan(( d ) (...

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  13. The solution of the differential equation 2x^2y(dy)/(dx)=tan(x^2y^2)-2...

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  14. Solution of the differential equation {1/x-(y^2)/((x-y)^2)}dx+{(x^2)/(...

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  15. The solution of differential equation (2y+x y^3)dx+(x+x^2y^2)dy=0 is (...

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  16. Find the solution of y e^(-x/y)dx-(x e^((-x/y))+y^3)dy=0 is

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  17. Find the curve satisfying the equation (dy)/(dx)=(y(x+y^3))/(x(y^3-x))...

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  18. Find the solution of differential equation (x+y(dy)/(dx))/(y-x(dy)/(...

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  19. The solution of the differential equation (dy)/(dx)=(3x^2y^4+2x y)/(x^...

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  20. The solution of the differential equation {1+xsqrt((x^2+y^2))}dx+{sqrt...

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