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Solve the following differential equatio...

Solve the following differential equation: `(x^2dy)/(dx)=x^2+x y+y^2`

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The correct Answer is:
`tan^(-1)(y/x)=log|x|+c`
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CBSE COMPLEMENTARY MATERIAL-DIFFERENTIAL EQUATIONS-FOUR MARK QUESTIONS
  1. Solve each of the following differential equations (dy)/(dx)=x-1+xy-...

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  2. Solve the following differential equations x^2y dx -(x^3+y^3)dy=0.

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  3. Solve the following differential equation: (x^2dy)/(dx)=x^2+x y+y^2

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  4. Solve the following differential equations (x^2-y^2)dx+2xy""dy=0, y(...

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  5. Solve the following differential equations (y sin"" (x)/(y))dx= (x s...

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  6. Solve the following differential equations (dy)/(dx)=(y)/(x)+tan (y/...

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  7. Solve the differential equation x(dy)/(dx)=y(log y - log x +1).

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  8. Solve the following differential equation: (dy)/(dx)=e^(x+y)+x^2\ e^y

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  9. Solve the following differential equations (dy)/(dx)=sqrt((1-y^2)/(1...

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  10. Solve the following differential equation: (3"x y"+"y"^2)"dx"+("x"^...

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  11. Form the differential equation of the family of circles touching th...

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  12. Form the differential equation of the family of parabolas having ve...

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  13. From the differential equation of the family of all parabolas having v...

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  14. Find the differential equation of all the circles which pass thorou...

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  15. From the differential equation of the family of all circles in first q...

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  16. Show that the differential equation (x-y)(dy)/(dx)=x+2yis homogeneous...

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  17. Show that the differential equation (x^2+2xy-y^2)dx+(y^2+2xy-x^2)dy=0 ...

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  18. Solve the following differential equations (dy)/(dx)-2y= cos 3x.

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  19. Solve the following differential equations sin x(dy)/(dx)+y cos x= 2...

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  20. Solve the following differential equations log((dy)/(dx))=ax+by

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