The general solution of the differential equation dy/dx=sin(x+y) is given by tan(x+y) – sec(x+y) = x +C where C is an arbitrary constant. Here we will learn how to find the solution of dy/dx=sin(x+y). Let us now solve the differential equation dy/dx=sin(x+y) by the substitution method. General Solution of dy/dx=sin(x+y) Question: Find the general solution … Read more
The general solution of the differential equation dy/dx=x/y is given by y2 = x2 + C where C is an integral constant. Here we will learn how to find the solution of dy/dx=x/y. General Solution of dy/dx=x/y Question: Find the general solution of dy/dx=x/y. Answer: The given differential equation is $\dfrac{dy}{dx}=\dfrac{x}{y}$ Separating the variables x … Read more
The general solution of the differential equation dy/dx=y/x is given by y=cx where c is any constant. We will use the separation of variables method. Let us learn how to find the solution of dy/dx=y/x. General Solution of dy/dx=y/x Question: Find the general solution of $\dfrac{dy}{dx}=\dfrac{y}{x}$. Answer: $\dfrac{dy}{dx}=\dfrac{y}{x}$ We can rewrite it as $\dfrac{dy}{y}=\dfrac{dx}{x}$ Integrating … Read more