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Solve the following differential equatio...

Solve the following differential equations: `(dy)/(dx)=(e^x(sin^2x+sin2x))/(y(2logy+1))`

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To solve the differential equation \[ \frac{dy}{dx} = \frac{e^x (\sin^2 x + \sin 2x)}{y (2 \log y + 1)}, \] we will follow these steps: ...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve the differential equation (dy)/(dx)=(x(2logx+1))/(siny+ycosy), g...

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

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  3. Solve the following differential equations: (dy)/(dx)=(e^x(sin^2x+sin2...

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  4. Solve: (x+y)^2(dy)/(dx)=a^2

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  5. Find the solution of the differential equation cos ydy+cosxsinydx=0 gi...

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  6. Find the particular solution of the differential equation (dy)/(dx)...

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  7. Solve the initial value problem: cos(x+y)dy=dx ,y(0)=0.

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  8. Solve: dy/dx = sin(x+y) + cos(x+y)

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

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  10. A curve y=f(x) has the property that the perpendicular distance of the...

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  11. The slope of a curve at any point is the reciprocal of twice the ordin...

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  12. The slope of the tangent to a curve at any point (x ,y) on its given b...

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  13. The slope of the tangent any point on a curve is lambda times the slop...

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  14. Show that the curve for which the normal at every point passes thro...

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  15. The slope of the tangent at (x , y) to a curve passing through a p...

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  16. Find the equation of a curve passing through the point (1, 1), given t...

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  17. Solve the differential equation ( x + y) dy + (x - y) dx = 0; given th...

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

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  19. Solve: (x^3-3x y^2)dx=(y^3-3x^2y)dydot

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  20. Solve: x^2ydx=(x^3+y^3)dy=0

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