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Solve: log((dy)/(dx))=a x+b y...

Solve: `log((dy)/(dx))=a x+b y`

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To solve the differential equation given by: \[ \log\left(\frac{dy}{dx}\right) = ax + by \] we will follow these steps: ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve: 1.(x+1)(dy)/(dx)=2x y 2.cosx(1+cosy)dx-s in y(1+sinx)dy=0

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

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  3. Solve: log((dy)/(dx))=a x+b y

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  4. Solve the initial value problem y^(prime)=ycot2x ,y(pi/4)=2.

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  5. if a,b are two positive numbers such that f(a+x)=b+[b^3+1-3b^2f(x)+3b...

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  6. Solve the initial value problem: dy=e^(2x+y)dx ,y(0)=0.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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