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Show that the differential equation 2y e...

Show that the differential equation `2y e^(x/y)\ dx+(y-2x e^(x/ y)` ) `dy=0` is homogeneous. Find the particular solution of this differential equation, given that `x=0` when `y=1.`

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XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
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  2. P and Q are two points with position vectors 3 vec a-2 vec b and v...

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  3. Show that the differential equation 2y e^(x/y)\ dx+(y-2x e^(x/ y) ) dy...

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  4. Sketch the graph of y=|x+3| and evaluate the area under the curve ...

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  5. Evaluate: int(x^2+1)/((x-1)^2(x+3))\ dx

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  6. Evaluate: int(xsin^(-1)x)/(sqrt(1-x^2))\ dx

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  7. Using differentials, find the approximate value of f(2. 01), where ...

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  8. Find the equation of the tangent to the curve y=sqrt(4x-2)\ which ...

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  9. Prove the following: tan^(-1)sqrt(x)=1/2cos^(-1)((1-x)/(1+x)),\ x\ \ ...

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  10. Prove the following: cos^(-1)((12)/(13))+sin^(-1)(3/5)=sin^(-1)((56)/...

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  11. Often it is taken that a truthful person commands, more respect in ...

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  12. integrate thisint ( x^2+1)/(x^2-5x+6)dx

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  13. In a group of 50 scouts in a camp, 30 are well trained in first aid...

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  14. Find the area enclosed by the parabola 4y=3x^2 and the line 2y=3x+12.

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  15. Find the particular solution of this differential equation (x^2dy)/(dx...

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  16. A manufacturer can sell x items at a price of Rs. (5-x/(100)) each. Th...

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  17. If the sum of the lengths of the hypotenuse and another side of a rig...

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  18. The area of the region bounded by the curve x^(2)=4y and the straight ...

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  19. A die is thrown again and again until three sixes are obtained. Fin...

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  20. Evaluate: int0^pi(xsinx)/(1+cos^2x)\ dx

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