Steps for Using {eq}dy/dx {/eq} as a Notation for the Derivative of {eq}y = f(x) {/eq} Step 1: Determine what derivative rule, if any, is necessary to take the derivative of the function f(x ...

Learn how to calculate d^2y/dx^2 by dividing (d/dt)(dy/dx) by dx/dt, and see examples that walk through sample problems step-by-step for you to improve your math knowledge and skills.

The result is {eq}\dfrac{dy}{dx} {/eq}, the slope of the tangent line. Vocabulary and Equations for Determining the Value of {eq}\frac{dy}{dx} {/eq} at a Point of a Curve Defined Parametrically by ...

{eq}\displaystyle \dfrac {dy} {dx} = x \sqrt y {/eq} Separable Differential Equation: If in a differential equation we are able to separate the variables of the differential equation, i.e. terms including one variable are on one side of the equation and terms containing another variable are on the other side of the equation, we call such ...

Find dy / dx at the given point for the equation. arcsin xy = 2/3 arctan 8x, (1 / 8, 4). Evaluate the following integral. integral x arcsin x dx Evaluate the indefinite integral. integral x arcsin x dx

Answer to: Solve the initial value problem: dy/dx = (y^2 - 1)/(x^2 - 1), y(2) = 2. By signing up, you'll get thousands of step-by-step solutions to...

Solve the Bernoulli equation: dy / dx - y = e^x y^2 Explain in detail. Find the general solution of the Bernoulli Equation ((2x^4)/y + 6y^2) dx - xy dy = 0. Find the general solution of the following Bernoulli equation: x^2y' + 3xy = 8y^3

The solution to the differential equation {eq}\displaystyle \frac{dy}{dx}+P(x)y=Q(x) {/eq} is given by {eq}\displaystyle ye^{\int P(x)dx } = C+\int Q(x)e^{\int P(x)dx}dx {/eq} An equation which is in the form of {eq}\displaystyle \frac{dy}{dx}+P(x)y=Q(x)y^n {/eq} is known as a …

Evaluate the iterated integral int_0^10 int_0^sqrt100-x^2 y dy dx by converting to polar coordinates. Evaluate the iterated integral from 0 to 1/2 of the integral from sqrt(3)x to sqrt(1-x^2) of 18x dy dx by converting to polar coordinates.

A) x*dy/dx = 4y B) e^(x + y) dy/dx = 3x C) y + dy/dx = e^x - sin A differential equation problem: solve as a homogeneous equation: y'=(2xy)/(x^2-y^2) Determine the general solution of the separable differential equation dy/dx = x^3 y^2.