## Solve the Differential Equation (x^2+1)y'=xy

In this tutorial we shall solve a differential equation of the form by using the separating the variables method. The differential... Click here to read more

From basic to higher mathematics

In this tutorial we shall solve a differential equation of the form by using the separating the variables method. The differential... Click here to read more

Differential equations are frequently used in solving mathematics and physics problems. In the following example we shall discuss the application of... Click here to read more

Differential equations are commonly used in physics problems. In the following example we shall discuss a very simple application of the... Click here to read more

In the following example we shall discuss the application of simple differential equation in business. If is the principal amount... Click here to read more

In this tutorial we shall solve a differential equation of the form , by using the separating the variables method.... Click here to read more

Let A and B be any two non–empty sets. Then a function ‘’ is a rule or law which associates... Click here to read more

Example: Find the range of the function . Solution: We have Put Thus, the domain is Now for the range,... Click here to read more

Constant Function: Let ‘A’ and ‘B’ be any two non–empty sets, then a function ‘’ from ‘A’ to ‘B’ is... Click here to read more

One – One Function: Let ‘A’ and ‘B’ be any two non–empty sets, then a function ‘’ from A to... Click here to read more

Meaning of the Phrase “Tend to Zero”: Suppose a variable ‘x’ assumes in succession a set of values. Clearly, ‘x’... Click here to read more

Example: If , then evaluate the limit . Solution: We have

Example: Find if Solution: We have Differentiate w.r.t ‘x’ and using the product rule Example: Differentiate with respect to ‘x’.... Click here to read more

Example: Differentiate with respect to ‘x’. Solution: Let Differentiate w.r.t ‘x’

The inverse process of derivatives is called anti–derivatives or integration. “A function being given and it is required to find... Click here to read more

1) 2) Where is any constant. 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16)... Click here to read more

Evaluate: (i) (ii) Solution: (i) (ii)

Example: Solution: We have