topmath.in

linear differential equation using integrating factor
solve x(dy/dx) + (1+x)y =2  linear equation
--------------------------------------------------------------------

---------------------------------------------------------------------



solve x(dy/dx) + (1+x)y =2
first divide throughout with x
to make the coefficientof
(dy/dx) as unity

Now identify P = (1/x)+1 , coefficient of y
and Q = 2/x on the R.H.S
use the formula for integrating factor to find the IF
Apply the property of log to change e^(ln x) = x

use the formula for the solution
y(IF) = integral of[Q*IF] dx + C



linear differential equation with integrating
                factor

--------------------------------------------------------------------------------
problem2

find the mclaurin series for sec x

take y =secx
differentiate to get y' = secxtanx change
secx to y for simpler successive differentiation
continue to differentiate and find the value of y
and the derivatives at x=0 and substitute in
formula for maclaurin series.

maclaurin series for sec x






some problems from integral calculus

* Integrate e^{x^(1/3)}dx

* evaluate integral of [e^(-x) +1] ^2

*evaluate ∫ (sin 3x)^4 dx with limits 0 to pi

* evaluate the integral of sqrt(tan  x)

* evaluate integral of { sqrt{1+(x^2)} } / {x^2}
using integration by parts


*∫ sec³x dx using integration by parts

*integral of (e^(ax) )  cosbx using integration by parts


Area using integral

* evaluate the area of an ellipse (x² /a²) + (y²/b²) =1 using integration

* find the area between y² = x and x² =y

* find the area bounded b y =x² and y = 3x

other questions and problems:


*integral calculus integration formula





----------------------------------------------------------------------------------------------
trigonometric identity and ratio of  certain standard angles

*list of differentiation formula     *integral calculus integration formula
---------------------------------------------------------------------------------------
*HOME PAGE   * mathematical formulae  * Indices, surds and some identities:   * Quadratic equations  * Progression  *Analytical Geometry * Trigonometry formula
  *Laplace Transform Inverse laplace transform *Vector
---------------------------------------------

---------------------------------------------

* Complex Number  *Hyperbolic function
disclaimer:
There is no guarantee about the data/information on this site. You use the data/information at your own risk. You use the advertisements displayed on this page at your own risk.We are not responsible for the content of external internet sites. Some of the links may not work. Also some of the companies which are displaying
advertisements may install cookies on your computer and may be tracking your browsing habits.