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F(x,y)=(sqrt(x^(2)+y^(2))+y)/x is a homo...

`F(x,y)=(sqrt(x^(2)+y^(2))+y)/x` is a homogeneous function of degree……………..

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True or false: The function F(x,y)=ysin(y/x)-x is a homogenous function of degree 1.

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Show that if x^2+y^2=1 , then the point (x,y,sqrt(1-x^2-y^2)) is at a distance of 1 unit from the origin.

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PRADEEP PUBLICATION-DIFFERENTIAL EQUATIONS-EXERCISE
  1. Fill ups The degree of the differential equation ((dy)/(dx))^3+((d^2y)...

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  2. Number of arbitrary constants in the particular solution of a differen...

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  3. F(x,y)=(sqrt(x^(2)+y^(2))+y)/x is a homogeneous function of degree…………...

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  4. Fill ups The function phi(x,y)=x^2y+xy^2 is homogenous of degree……….. ...

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  5. Order of the differential equation representing the family of parabola...

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  6. The differential equation (dx)/(dy)=F(x/y) can be solved by the substi...

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  7. The general solution of the differential equation (dy)/(dx)=e^(x-y) is...

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  8. The number of arbitrary constants in a particular solution of the diff...

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  9. The general solution of the differential equation (dy)/(dx)+y/x=1 is……...

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  10. Fill ups The differential equation (dx)/(dy)=(x^2log(x//y)-x^2)/(xylog...

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  11. Fill ups The general solution of the equation (d^3y)/(dx^3)=0 is…………

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  12. Integrating factor of the differential equation x(dy)/(dx)-y=sinx is …...

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  13. Fill ups The differential equation of the family of curves y=asin(bx+c...

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  14. Fill ups The differential equation of the family of curves y=Asinx+Bco...

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  15. Solve the differential equation: [e^(-2sqrt(x))/sqrt(x) -y/sqrt(x)](...

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  16. Fill ups The degree of the differential equation log((dy)/(dx))=x is……...

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  17. The degree of the differential equation sqrt(1+((dy)/(dx))^(2))=x is …...

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  18. The degree of the differential equation (d^(2)y)/(dx^(2))+e^((dy)/(dx)...

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  19. Fill ups The degree of the differential equation sin((dy)/(dx))=x is……...

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  20. Find the integrating factor the differential equation xlogx(dy)/(dx)+y...

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