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Find the equation of a curve passing thorugh origin, if the slope of a tangent to the curve at any point (x,y) is equal to the square of the difference of the abcissa and ordinate of the point.

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Find the equation of the curve passing through origin if the slope of the tangent to the curve at any point (x ,y)i s equal to the square of the difference of the abscissa and ordinate of the point.

Find the equation of the curve passing through origin if the slope of the tangent to the curve at any point (x ,y)i s equal to the square of the difference of the abscissa and ordinate of the point.

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Find the equation of a curve passing through the origin given that the slope of the tangent to the curve at any point (x, y) is equal to the sum of the coordinates of the point.

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of a curve passing through the point (0, 1). If the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of a curve passing through the point (0, 1) if the slope of the tangent to the curve at any point (x, y) is equal to the sum of the x coordinate (abscissa) and the product of the x coordinate and y coordinate (ordinate) of that point.

Find the equation of the curve passing through the point (1,0) if the slope of the tangent to the curve at any point (x ,y)i s(y-1)/(x^2+x)dot

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NAGEEN PRAKASHAN ENGLISH-DIFFERENTIAL EQUATIONS-Exercise 9b
  1. If A and B are arbitrary constants, then find the differential equatio...

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  2. Find the equation of a curve passing thorugh origin, if the slope of a...

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  3. If a and b are arbitrary constants, then find the differential equatio...

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  4. Find the differential equation corresponding to y=cx^(3), where c is a...

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  5. Find the differential equation corresponding to y=cx+c-c^(3), where c ...

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  6. Write the differential equation obtained eliminating the arbitrary ...

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  7. Find the differential equation of xy = ae^x + be^(-x).

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  8. For all values of A and B, find the differential equation of y=Asinx+B...

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  9. For all values of A and B, find the differential equation of y=Acospx+...

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  10. Form the differential equation representing the family of curves y = a...

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  11. For all values of A and B, find the differential equation of y=Ae^(3x)...

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  12. Find the differential equation corresponding to jy=a e^(2x)+b e^(-3x)+...

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  13. Find the differential equation of the circles represented by y = k(x +...

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  14. Find the differential equation of those circles whose centres lie on X...

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  15. Form the differential equation of the family of circles in the firs...

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  16. From the differential equation of the family of parabolas with focus a...

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

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