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Solve the following differential equatio...

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

Text Solution

Verified by Experts

The correct Answer is:
`y= (1)/(3) x^(3) - (1)/(3) cos 3x + C`
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BETTER CHOICE PUBLICATION-DIFFERENTIAL EQUATIONS-ASSIGNMENT (SECTION III)
  1. Solve the following differential equations (dy)/( dx) = x^2 + sin 3...

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  2. Solve the following differential equations (dy)/( dx) - x^2 sin^2x =...

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  3. Solve the following differential equations (1+ x^2 ) (dy)/( dx) - xy...

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  4. Solve the following differential equations (dy)/( dx) = x^5 + x^2 - ...

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  5. Find the particular solution of following differential equation (x^(...

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  6. Find the particular solution of following differential equation cos...

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  7. Solve the following differential equations (dy)/( dx) = (1+ y^2)/( 1...

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  8. Solve the following differential equations 3e^(x) tan ydx + (1- e^(x...

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  9. Solve the following differential equations tan y dx + sec^(2) y tan ...

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  10. Solve the following differential equations 4e^(x) tan y dx + 3( 1 + ...

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  11. Solve the differential equation : (1 + e^(2x))dy + (1 + y^2)e^(2x) dx ...

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  12. Solve the following differential equations log "" (dy)/( dx) = ax + ...

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  13. Solve the following differential equations x^(2) ( y -1) dx + y^(2) ...

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  14. Solve the following differential equations (e^(x) + 1) dy + ( y + 1)...

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  15. Solve the following differential equations ( 1+ x) ( 1+ y^2) dx + (...

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  16. Solve the following differential equations (dy)/( dx) = 1+ x + y + ...

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  17. Solve the following differential equations ; dy/dx - y/x = 2x^2

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  18. Find the particular solution of following ( x+ 1) (dy)/( dx) = 2e^(-...

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  19. Find the particular solution of following (dy)/( dx) = y sin 2x, giv...

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  20. Find the particular solution of following ( 1+ y^(2) ) ( 1+ logx ) d...

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