For what value(s) of r, if any, is y = e^(rt) a solution of the following differential equations? a) y' = -2y b) y' = 2y c) y' = y + 1 d) y' = y - 1 e) y" - 3y' + 2y = 0 f) y' = y^2 What to do when a differential equation doesn't have a solution...
Particular Solution of a Differential Equation: We can define a particular solution of a differential equation with constant coefficients, one of the methods used is that of indeterminate coefficients. This method is used when g (x) has a special form, defined by ...
Equation of directrix, x = + a/e Length of latus rectum = (2b2 / a) Circle is a particular case of an ellipse, where e = 0 C (0, 0) is centre of ellipse. Area of an ellipse The area of an ellipse = πab, where a is the semi major axis and b is the semi minor axis....
This product is being aggressively marketed as a solution for dogs who fear thunder and fireworks. However, Pet Shell’s own published acoustical testing report, impeccably performed at the Slovenian National Building and Civil Engineering Institute, reveals that the low frequencies of thunder and fire...
Ethical and societal issues concerning justice, safety, risks, and benefits are well-established topics in the discourses of nanotechnology innovation and development. That nanotechnology innovation should be socially and ethically responsible is generally accepted by scientists, policymakers, regulators, and...
Therefore, solving 3D structures of all the proteins in the human proteome has been a ‘Holy Grail’ for the field of structural biology since inception. The current golden standard methods for structural biology are X-Ray crystallography, NMR and cryo-EM. Short comparison summary is presented ...
I have a script that displays a table with the option for a user to check up to three boxes. When one of the boxes gets checked, I want a certain function corresponding to the name on the table to be displayed on a graph. The code reads as follo...
What is a capacitor? Capacitors are devices which store electrical energy in the form of an electric field. The process is quite similar to the way mechanical springs store energy in the form of elastic material deformation, to the extent that the math describing both is quite similar, save...
What is ln(2x)−ln(2) equivalent to? Logarithms:The functions that are inverses of the exponential functions are known as Logarithmic Functions. We can apply various logarithmic properties for solving the questions related to logarithms. The most common logarithmic properties are lna...
{eq}y^{\prime} = \dfrac {x^2 e^x... Learn more about this topic: Finding Derivatives of a Function | Overview & Calculations from Chapter 20/ Lesson 1 116K Understand what derivative calculus is and how to fi...