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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

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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

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  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.



    Answer  :  

    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.



    Answer  :  

    The differential equation is y = - 2 cos x + 3x + c1, where c1 is a arbitrary constant.



More Differential Equation Calculator
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