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Show that the general solution of the di...

Show that the general solution of the differential equation `((dy)/(dx)) + (y^2 + y + 1)/(x^2 + x + 1) = 0` is given by `(x + y +1) = A)1-x-y-2xy)`, where A is parameter.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Form the differential equation of the family of circles in the first q...

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  2. Find the general solution of the differential equation: ((dy)/(dx)) + ...

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  3. Show that the general solution of the differential equation ((dy)/(dx)...

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  4. Find the equation of the curve passing through the point (0,pi/4) whos...

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  5. Find the particular solution of the differential equation (1+e^(2x))dy...

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  6. Solve the differential equation(y e^(x/y)) dx = (x(e^(x/y)) + y^2) dy ...

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  7. Find a particular solution of the differential equation (x-y)(dx+dy) =...

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  8. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

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  9. Find a particular solution of the differential equation (dy)/(dx) + y ...

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  10. Find the particular solution of the differential equation (x + 1)dy/dx...

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  11. The population of a village increases continuously at the rate proport...

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  12. The general solution of the differential equation (y dx - x dy)/y = 0 ...

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  13. The general solution of a differential equation of the type(dx)/(dy) +...

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  14. The general solution of the differential equation e^(x)dy + (ye^(x) + ...

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  15. Fill ups Order of the differential equation (d^3y)/(dx^3)-3(dy)/(dx)=0...

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  16. Fill ups Degree of a linear differential equation is always………….

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  17. Fill ups The degree of the differential equation ((dy)/(dx))^3+((d^2y)...

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  18. Number of arbitrary constants in the particular solution of a differen...

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  19. F(x,y)=(sqrt(x^(2)+y^(2))+y)/x is a homogeneous function of degree…………...

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  20. Fill ups The function phi(x,y)=x^2y+xy^2 is homogenous of degree……….. ...

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