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Show that the equation of the curve whose slope at any point is equal to `y+2x` and which passes through the origin is `y+2(x+1)=2e^(x)dot`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Find dy/dx if y-x+x^2=0

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  2. Find the curve for which the intercept cut off by a tangent on x-ax...

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  3. Show that the equation of the curve whose slope at any point is equa...

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  4. The tangent at any point (x , y) of a curve makes an angle tan^(-1)(2x...

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  5. Find the equation of the curve such that the portion of the x-axis c...

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  6. Find the equation of the curve which passes through the point (3,-4)...

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  7. Find the equation of the cure which passes through the origin and h...

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  8. Find the equation of a curve passing through the point (0, 1). If t...

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  9. Find the equation of the curve such that the portion of the x-axis ...

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  10. The rate of increase of the bacteria in a culture is proportional to t...

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  11. Show that the line y= 2x -4 is a tangent to the hyperbola x^2/16-y^2/...

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  12. Find the equation of a curve passing through the origin given that ...

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  13. Find the equation of a curve passing through the point (0, 1) if the s...

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  14. The slope of a curve at each of its points is equal to the square of t...

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  15. What is differential equation and order and degree of a differential e...

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  16. What is a differential equation and the order and degree of a differen...

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  17. What is a differential equation and the order and degree of a differen...

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  18. What is a differential equation and the order and degree of a differen...

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  19. Write the differential equation representing the family of straight...

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  20. Write the differential equation obtained by eliminating the arbitra...

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