HSC Arts (English Medium) १२ वीं कक्षा - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

`int cot^2x  "d"x`

`int x/(x + 2)  "d"x`

`int cos^7 x  "d"x`

`int(log(logx))/x  "d"x`

`int sqrt(("e"^(3x) - "e"^(2x))/("e"^x + 1))  "d"x`

Select and write the correct alternative from the given option for the question

Solution of the equation `x  ("d"y)/("d"x)` = y log y is

The general solution of `(dy)/(dx)` = e^−x is ______.

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General solution of `y - x ("d"y)/("d"x)` = 0 is

Select and write the correct alternative from the given option for the question

The solution of `("d"y)/("d"x)` = 1 is

Select and write the correct alternative from the given option for the question 

The solutiion of `("d"y)/("d"x) + x^2/y^2` = 0 is

Find the differential equation of family of lines making equal intercepts on coordinate axes

Find the general solution of `("d"y)/("d"x) = (1 + y^2)/(1 + x^2)`

Form the differential equation of family of standard circle

Form the differential equation of y = (c₁ + c₂)e^x 

Find the differential equation of family of all ellipse whose major axis is twice the minor axis

Find the differential equation by eliminating arbitrary constants from the relation x² + y² = 2ax

Find the differential equation by eliminating arbitrary constants from the relation y = (c₁ + c₂x)e^x 

Verify y = log x + c is the solution of differential equation `x ("d"^2y)/("d"x^2) + ("d"y)/("d"x)` = 0

Find the differential equation from the relation x² + 4y² = 4b² 

Find the differential equation of the family of all the parabolas with latus rectum 4a and whose axes are parallel to the x-axis