】 12:02 Abel's brilliant trick for solving differential equations【阿贝尔解微分方程的绝招】 12:28 ONE OF THE COOLEST INTEGRALS EVER!! int (0,1) ln(x)sqrt(x(1-x^2))【史上最酷的积分之一!!】 15:39 A very interesting integral solved using my favorite tricks【一个非常有趣的积分用我最...
Of particular interest is how monocyte subsets regulate secretion of the apical pro-inflammatory cytokine IL-1β, which is central to the initiation of immune responses but is also implicated in the pathology of various auto-immune/auto-inflammatory conditions. Here we show that primary human non-...
Show that y = x ln(x) - 4x is a solution of differential equation x + y - xy' = 0. Show that y = Ax + B/x^2 is a solution to the differential equation x^2y" + 2xy' - 2y = 0. Find the general solution of the differential equation. (Enter your solut...
www.nature.com/scientificreports OPEN A novel multi‑hybrid differential evolution algorithm for optimization of frame structures Rohit Salgotra 1,2* & Amir H. Gandomi 3,4* Differential evolution (DE) is a robust optimizer designed for solving complex domain research problems in...
Find the derivative y'(x) of the function. y = 3xe^{-kx } 1. Find the derivative of the function. a) y = 6xe^{- kx} y'(x) = b) y = (x^2 + 1 / x^2 - 1)^6 y' = Find the derivative of the function. ='false' y = ln(|csc(4x)|) y'(x) = Find the...
An equation involving ordinary derivatives or partial derivatives of one or more dependent variables with respect to one or more independent variables is known as a differential equation. sinx dy−3x dx=0,x(∂2f∂x2+fy)=k are some examples of differential equations. D...
Answer to: Solve the differential equation:\frac{\partial z}{\partial t}+3e^{t+z}=0 By signing up, you'll get thousands of step-by-step solutions...
Example 1: If the equation of tangent to the curve $y^{2}=ax^{3}+b$ at point (2, 3) is y = 4x - 5, then find the values of a and b Solution: Here, we have$y^{2}=ax^{3}+b$ ………(1) Differentiating w.r.t, x , we get $\Right...
Answer to: Solve the differential equation. y'' + y = e^x By signing up, you'll get thousands of step-by-step solutions to your homework questions...
Find the total differential of the function f(x, y) = x^2e^{3y} + y \ln x Find the total differential, dz, of the following function: f(x, y) = e^{7x} \cos(9y) Find the total differential of the function. f(x,y) = 5y/x-y Find C such that y = e^{4x} is a solut...