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Differential Equation Calculator
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Differential equation is a type of equation which contains derivatives in it. It will be of the form of the function:
y = f(x)
Where y is dependent variable and x is independent variable.

Differential Equation Calculator
integrates the given function schematically and gives you the differential equation.

An equation is given below as default input for this calculator. When u click on "Solve", like variables are separated and integrated on both sides to get differential equation.

## Steps for Differential Equation Calculator

Step 1 :

Read the given problem and observe the given equation in it.

Step 2 :

Seperate the given variables x and y

Step 3 :

Integrate on both sides to get the answer.

## Problems on Differential Equation Calculator

1. ### Find the differential equation using variable seperable method:$\frac{dy}{dx}$ = 2x + 1

Step 1 :

The given function is $\frac{dy}{dx}$ = 2x + 1

Step 2 :

Seperating the like variables, we get

dy = (2x + 1) dx.

Step 3 :

By Integarting on both the sides, we get

$\int$ dy = $\int$ (2x + 1) dx

y = 2 $\frac{x^{2}}{2}$ + x

y = x2 + x + c1.

The differential equation is y = x2 + x + c1. Where c1 is the arbitrary constant.

2. ### Using Variable seperable method, find the differential equation of the following:y' = 2 sin x + 3

Step 1 :

The given function is $\frac{dy}{dx}$ = 2 sin x + 3

Step 2 :

Seperating the like variables, we get

dy = (2 sin x + 3) dx.

Step 3 :

By Integarting on both the sides, we get

$\int$ dy = $\int$ (2 sin x + 3) dx

y = 2 (- cos x)+ 3 x +c1

y = - 2 cos x + 3x + c1.