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Solve the following differential equatio...

Solve the following differential equation: `xcos(y/x)(y dx+x dy)=ysin(y/x)(x\ dy-y\ dx)`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the following differential equation: x(dy)/(dx)=y-xcos^2(y/x)

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  2. Solve the following differential equation: \ x(dy)/(dx)-y=2\ sqrt(y^2-...

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  3. Solve the following differential equation: xcos(y/x)(y dx+x dy)=ysin(y...

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  4. Find dy/dx if (x-y)=x+2y

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  5. Find dy/dx if y= x.cosecx

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  6. Find dy/dx if y=x^2+x-2

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  7. Solve the following differential equation: \ (y^2-2x y)dx=(x^2-2x y)dy

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  8. Solve the following differential equation: 3x^2dy=(3x y+y^2)dx

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  9. Solve the differential equation - (x-2y)dx+(2x+y)dy=0

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  10. Solve x((dy)/(dx))=y(logy-logx+1)

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  11. Solve the following differential equation: y^2dx+(x^2-x y+y^2)dy=0

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  12. Solve the following differential equation: \ x(dy)/(dx)=y-xcos^2(y/x)

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  13. Solve the following differential equation: x(dy)/(dx)-y+xsin(y/x)=0

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  14. Solve each of the following initial value problem: (x^2+y^2)dx=2x y\ d...

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  15. Solve the following initial value problem: x e^(y//x)-y+x(dy)/(dx)=0,\...

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  16. Solve the following initial value problem: (dy)/(dx)-y/x+cosec y/x=0,...

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  17. Solve the following initial value problem: (x y-y^2)dx-x^2dy=0,\ y(1)=...

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  18. Find (dy)/(dx) if y ( x + 2y)=5

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  19. Find dy/dx if x^4=y^4

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  20. Solve each of the following initial value problem: x(x^2+3y^2)dx+y(y^2...

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