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Find the general solution of the differ...

Find the general solution of the differential equations:`(dy)/(dx)+3y=e^(-2x)`

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To solve the differential equation \(\frac{dy}{dx} + 3y = e^{-2x}\), we can follow these steps: ### Step 1: Identify the standard form The given equation is already in the standard linear form: \[ \frac{dy}{dx} + P(x)y = Q(x) \] where \(P(x) = 3\) and \(Q(x) = e^{-2x}\). ...
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NAGEEN PRAKASHAN ENGLISH-DIFFERENTIAL EQUATIONS-Exercise 9.6
  1. Find the general solution of the differential equations: (dy)/(dx)+2y...

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  2. Find the general solution of the differential equations:(dy)/(dx)+3y=...

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  3. Find the general solution of the differential equations:(dx)/(dy)+y/x...

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  4. Find the general solution of the differential equations: (dy)/(dx)+(s...

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  5. Solve the following differential equation: cos^2x(dy)/(dx)+y=tanx

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  6. Find the general solution of the differential equation : x(dy)/(dx)+2...

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  7. Find the general solution of the differential equations:xlogx(dy)/(dx...

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  8. Find the general solution of the differential equations:(1+x^2)dy+2x ...

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  9. Find the general solution of the differential equations:x(dx)/(dy)+y-...

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  10. Find the general solution of the differential equations:(x+y)(dx)/(dy...

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  11. Find the general solution of the differential equation y dx-(x+2y^2)d...

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  12. Find the general solution of the differential equations:(x+3y^2)(dx)/...

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  13. For the differential equation, find a particular solution satisfying...

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  14. The differential equations, find a particular solution satisfying the...

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  15. The differential equations, find a particular solution satisfying the...

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  16. Find the equation of a curve passing through the origin given that ...

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  17. Find the equation of a curve passing through the point (0, 2) given ...

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  18. The Integrating Factor of the differential equation x(dy)/(dx)-y=2x^2...

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  19. What is the integrating factor of the differential equation (1-y^2)(dx...

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