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Solve each of the following initial valu...

Solve each of the following initial value problems `sqrt(1-y^2)dx=(sin^(-1)y-x)dy ,y(0)=0`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the following differential equations: (dy)/(dx)+(4x)/(x^2+1)y+1/...

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  2. Solve the following differential equations: x(dy)/(dx)-y=(x-1)e^x

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  3. Solve each of the following initial value problems sqrt(1-y^2)dx=...

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  4. Solve the following differential equations: x(dy)/(dx)+y=x e^x

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  5. If y(t) is a solution of (1+t)(dy)/(dt)-t y=1a n dy(0)=-1 then show ...

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  6. Solve: (x+2y^3)dy=ydxdot

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  7. Solve each of the following initial value problems: x(dy)/(dx...

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  8. Solve each of the following initial value problems: (dy)/(dx)+(2x)/(...

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  9. Solve the following differential equations: (2x-10 y^3)(dy)/(dx)+y=0

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  10. Solve the following differential equations: (dy)/(dx)+y cotx=x^2cotx+2...

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  11. Solve the following differential equations: (dy)/(dx)+ycosx=sinxcosx

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  12. Solve the following differential equations: (x+tany)dy=sin2ydx

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  13. Solve the following differential equations: (dy)/(dx)-y= xe^x

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  14. Solve the following differential equations: (1+x^2)(dy)/(dx)-2x y=(x^2...

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  15. The surface are of a balloon being inflated changes at a constant r...

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  16. Solve the following differential equations: (dy)/(dx)+2y=x e^(4x)

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  17. Suppose the growth of a population is proportional the umber presen...

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  18. A population grows at the rate of 8% per year. How long does it tak...

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  19. Verify that y=log(x+sqrt(x^2+a^2))^2 satisfies the differential equa...

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  20. Verify that y=c e^(t a n-1x) is a solution of differential equatio...

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