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Solve: (dy)/(dx)=1/(sin^4x+cos^4x)...

Solve: `(dy)/(dx)=1/(sin^4x+cos^4x)`

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To solve the differential equation \[ \frac{dy}{dx} = \frac{1}{\sin^4 x + \cos^4 x}, \] we will follow these steps: ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Water at temperature 100^@C cools in 10 minutes to 88^@C in a room of ...

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  2. Solve the following differential equations: (dy)/(dx)=sin^3xcos^2x+x ...

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  3. Solve: (dy)/(dx)=1/(sin^4x+cos^4x)

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  4. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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  5. Solve the following initial value problems: (22-26) sin((dy)/(dx))=k ...

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  6. Solve the initial value problem e^((dy//dx))=x+1; y(0)=5.

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  7. Solve the following initial value problems: (22-26) x(x^2-1)("dy")/("...

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  8. Solve: 1.(x+1)(dy)/(dx)=2x y 2.cosx(1+cosy)dx-s in y(1+sinx)dy=0

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

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

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

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

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

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

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

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

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

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

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

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

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