Differential Equation Calculator

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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.

**Step 1 :**

**Step 2 :**

**Step 3 :**

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.

Differential Equation Calculator

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.

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

Seperate the given variables x and y

Integrate on both sides to get the answer.

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 = x

^{2}+ x + c_{1}.**Answer :**The differential equation is y = x

^{2}+ x + c_{1}. Where c_{1}is the arbitrary constant.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 +c

_{1}

y = - 2 cos x + 3x + c

_{1}.**Answer :**The differential equation is y = - 2 cos x + 3x + c

_{1}, where c_{1}is a arbitrary constant.

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