Here you will learn proof of integration of cosx or cos x and examples based on it. Let’s begin – Integration of Cosx or Cos x The integration of cosx is sinx + C where C is the integration constant. i.e. \(\int\) (cosx) dx = sin x + C Proof : We will prove this …
Here you will learn proof of integration of sinx or sin x and examples based on it. Let’s begin – Integration of Sinx or Sin x The integration of sinx is -cosx + C where C is the integration constant. i.e. \(\int\) (sinx) dx = -cos x + C Proof : We will prove this …
Here you will learn how to find solution of linear differential equation of first order first degree with examples. Let’s begin – Solution of Linear Differential Equation (1) Linear Differential Equation of the form \(dy\over dx\) + Py = Q A differential equation is linear if the dependent variable (y) and its derivative appear only …
Here you will learn how to find solution of homogeneous differential equation of first order first degree with examples. Let’s begin – Solution of Homogeneous Differential Equation If a first degree first order differential equation is expressible in the form \(dy\over dx\) = \(f(x, y)\over g(x, y)\) where f(x, y) and g(x, y) are homogeneous …
Here you will learn how to find the solution of the differential equations in variable separable form with examples. Let’s begin – Differential Equations in Variable Separable Form If the differential equation can be put in the form f(x) dx = g(y) dy, we say that the variables are seperable and such equations can be …
Differential Equations in Variable Separable Form Read More »
Here you will learn how to find the solution of the differential equations reducible to variable separable form with examples. Let’s begin – Differential Equations Reducible to Variable Separable Form Differential Equations of the form \(dy\over dx\) = f(ax + by + c) can be reduce to variable separable form by the substitution ax + …
Differential Equations Reducible to Variable Separable Form Read More »
Here you will learn how to find the general solution of differential equations of form dy/dx = f(x) or f(y) with examples. Let’s begin – Differential Equations of Form dy/dx = f(x) or f(y) (1) Differential Equations of Form dy/dx = f(x) To solve this type of differential equations we integrate both sides to obtain …
Differential Equations of Form dy/dx = f(x) or f(y) Read More »
Here you will learn general form of first order first degree differential equations and methods of solving first order first degree. Let’s begin – General Form of First Order First Degree Differential Equations A differential equation of first order and first degree involves the independent variable x, dependent variable y, and \(dy\over dx\). So, it …
Here you will learn how to find solution of differential equation i.e. general solution and particular solution with examples. Let’s begin – Solution of Differential Equation The solution of differential equation is a relation between the variables involved which satisfies the differential equation. for example, y = \(e^x\) is a solution of the differential equations …
Here you will learn formation of differential equation with examples. Let’s begin – Formation of Differential Equation Algorithm 1). Write the equation involving independent variable x (say), dependent variable y (say) and the arbitrary constants. 2). Obtain the number of arbitrary constants in Step 1. Let there be n arbitrary constants. 3). Differentiate the relation …
