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Form the differential equation of the...

Form the differential equation of the family of parabolas having vertex at origin and axis along positive y-axis.

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The correct Answer is:
`2y=x(dy)/(dx)`
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CBSE COMPLEMENTARY MATERIAL-DIFFERENTIAL EQUATIONS-FOUR MARK QUESTIONS
  1. Solve the following differential equation: (3"x y"+"y"^2)"dx"+("x"^...

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

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

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

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

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

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

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

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

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

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

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  12. Solve the following differential equations (x^3+y^3)dx= (x^2y+xy^2)d...

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  13. Solve the differential equation x dy-y dx=sqrt(x^(2)+y^(2)) dx.

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  14. Solve the following differential equations y{x cos (y/x)+y sin (y/x)...

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  15. Solve the differential equation x^2dy+y(x+y)dx=0, given that y=1\ w h ...

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  16. Solve the following differential equations xe^(y/x)-y+x(dy)/(dx)=0" ...

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  17. Solve the following differential equations (x^3-3xy^2)dx=(y^3-3x^2y)...

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  18. Solve the differential equation (dy)/(dx)-y/x+cosecy/x=0, given that y...

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  19. Solve the following differential equation: cos^2\ x(dy)/(dx)+y=tan\ x

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

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