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Show that the differential equation (dy...

Show that the differential equation ` (dy)/(dx) = y^2/ (xy - x^2)` is homogeneous and also solve it

A

`e^(y//x)=kx`

B

`e^(y//x)=ky`

C

`e^(x//y)=kx `

D

`e^(-y//x)=ky`

Text Solution

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The correct Answer is:
B
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TARGET PUBLICATION-DIFFERENTIAL EQUATIONS -COMPETITIVE THINKING
  1. The solution of the differential equation (dy)/(dx)="tan"((y)/(x))+(y)...

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  2. The solution of the equation (dy)/(dx)=(x+y)/(x-y), is

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  3. Show that the differential equation (dy)/(dx) = y^2/ (xy - x^2) is ho...

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  4. The general solution of the differential equation (x^2+xy)y'=y^2 is

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  5. The solution of the differential equ (x^2 + y^2) dx = 2 xy dy is-

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  6. The general solution of differential equation dy/dx=(x+y)/(x-y) is

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  7. If any differentisl equation in the form f(f(1)(x,y)d(f(1)(x,y)+phi(...

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  8. The solution of the differential equation y"dy"/"dx"=x[y^2/x^2 + (phi(...

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  9. Solution of the differential equation (1+e^(x/y))dx + e^(x/y)(1-x/y)dy...

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  10. Solution of the differential equation y cos\ y/x (x dy-y dx)+xsin\ y/x...

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  11. The slope of the tangent at (x , y) to a curve passing through a po...

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  12. Integrating factor of x(dy)/(dx) - y = x^(4) - 3x is

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  13. The integrating factor of the differential equation x.(dy)/(dx)+2y=x^2...

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  14. The integrating factor of the differential equation (1+x^2)(dy)/(dx)+y...

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  15. Integrating factor of differential equation cosx(dy)/(dx)+ysinx=1 is (...

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  16. The integrating factor of the differential equation (dy)/(dx)+y=(1+y)/...

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  17. The integrating factor of the differential equation (dy)/(dx)=1/(x+y+2...

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  18. IF sin x is the integerating factor (I.F ) of the linear diff...

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  19. The solution of (dy)/(dx)+P(x)y=0, is

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  20. Find the general solution of (dy)/(dx)+ay=e^(mx)

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