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Solve the following differential equatio...

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

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`\frac{d y}{d x}+y \cos x=\sin x \cos x `
`\frac{d y}{d x}+(\cos x) y=\sin x \cos x`
Linear Differential `\varepsilon q arrow \frac{d y}{d x}+P(x) y=\varphi(x)`.
If `=e^{\int P(x) d x}`
...
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RD SHARMA-DIFFERENTIAL EQUATION-Solved Examples And Exercises
  1. Solve the following differential equations: (2x-10 y^3)(dy)/(dx)+y=0

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

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

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

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

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

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

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

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

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

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

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

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  13. Show that the differential equation of which y=2(x^2-1)+c e^(-x^2) is ...

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  14. Form the differential equation corresponding to y^2-2a y+x^2=a^2 by el...

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  15. Show that y=A x+B/x ,x!=0 is a solution of the differential equation x...

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  16. Form the differential equation having y=(sin^(-1) x)^2 +A cos^(-1) x +...

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  17. Show that y=a e^(2x)+b e^(-x) is a solution of the differential equat...

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  18. Show that the function y=(A+B x)e^(3x) is a solution of the equation (...

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  19. Show that y=c x+a/c is a solution of the differential equation y=x(dy)...

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  20. Show that y=acos(logx)+bsin(logx) is a solution of the differential eq...

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