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Solve: (dy)/(dx)=ysin2x it being given t...

Solve: `(dy)/(dx)=ysin2x` it being given that `y(0)=1.`

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RD SHARMA ENGLISH-DIFFERENTIAL EQUATION-All Questions
  1. Solve the initial value problem: dy=e^(2x+y)dx ,y(0)=0.

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  2. Solve the initial value problem: x(xdy+ydx)=ydx ,y(1)=1.

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  3. Solve: (dy)/(dx)=ysin2x it being given that y(0)=1.

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  4. Solve the initial value problem: (xdy+ydx)=xy dx ,y(1)=1.

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  5. Find the equation of the curve passing through origin if the slope ...

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  6. Find the equation of the curve passing through the point (1,0) if t...

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  7. Find the equation of the curve passing through the point (-2,3) giv...

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  8. Find the equation of the curve passing through the point (1,1) whos...

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  9. Solve the following differential equation : xcosy\ dy=(x e^xlogx+e^x)...

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  10. Solve the following differential equations: xcos^2y \ dx=ycos^2x \ dy

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  11. Experiments show that the rate of inversion of cane sugar in dilute so...

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  12. In a culture, the bacteria count is 1,00,000. The number is increas...

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  13. A bank pays interest by continuous compounding, that is ,by treatin...

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  14. Experiments show that radius disintegrates at a rate proportional to t...

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  15. The equation of the curve passing through the point (1,pi/4) and havin...

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  16. Find the equation to the curve satisfying x(x+1)(dy)/(dx)-y=x(x+1) and...

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  17. The curve is such that the length of the perpendicular from the ori...

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  18. The normal to a given curve at each point (x ,y) on the curve passes t...

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  19. Radium decomposes at a rate proportional to the quantity of radium ...

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  20. Find the equation of a curve passing through the point (0, 1). If t...

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