一道关于梯型法则的题.Consider the differential equationdy/dx=yxa.write out the formula for trapezoidal rule applied to this differential equationb.Determine the leading term in the local error for trapezoidal rule in this example. 答案 梯形法则:这等同将被积函数近似为直线函数,被积的部分近似为梯形...
【解析】put y = vx so thatMIAI(dy)/(dx)=v+z(dx)/(dx) substituting.(Ml)/(v+z_2)=v+√(1-v^2) ∫((Q')/(√(10^2)))=∫(4x)/x arcsinv=lnx+C v/x=sin(lnx+C) y=zsin(lnx+C) 结果一 题目 【题目】Consider the differential equation=y+2-70.2Find the general solution.giv...
百度试题 结果1 题目【题目】Consider the differential equation(dy)/(dx)=(x+2y)/(3y-2x) forx0dx 3y-2xUsethe5ubstintiny=vxtoshowthatv+x(dv)/(dx)=(1+2v)/(3v-2) 相关知识点: 试题来源: 解析 【解析】Proof 反馈 收藏
Consider the differential equation: (dy)(dx)=- xyy(-4)=3Solve the differential equation by separation of variables. 相关知识点: 试题来源: 解析 y(-4)=3y(-4)=3 (y^2)2=- (x^2)2+Cy=√ (2C-x^2)3=√ (2C-16)2C=25y=√ (25-x^2)...
Consider the differential equation (cos x)dy+(inx)y= 2co3xinx-1.Write the differential equation in the formfom_(d/d)+P(x)y=Q(x) andfn heintegrating factor 相关知识点: 试题来源: 解析 (dy)/(dx)+(tanx)y=2cos^2xsinx-secx ;integrtingfactor is sec x. ...
u=积分 z dx =x^4+A (x^2-2x+2)e^x+By=u*x^(-3)=x+A(x^(-1)-2x^(-2)+2x^(-3))e^x+Bx^(-3) 结果一 题目 Problem 2.Consider the following differential equation defined for x0:(+4)+3y=4+4.Answer the following questions.(1)Find the value of r such that v=x is a...
We have been given with the family of curve {eq}x^2 + 2y^2 = 2c {/eq}. Now to find the orthogonal trajectory we have to first find the first...Become a member and unlock all Study Answers Try it risk-free for 30 days Try it risk-free Ask a question ...
Let's say we have a differential equation {eq}\displaystyle y' = f(x,y) {/eq} and we know that {eq}\displaystyle y(\alpha) = \beta {/eq}. If we want to find the value of the function at some point {eq}\displaystyle x = \gamma {/eq} we can use the numerical integration...
Consider the following initial value problem: y'' - 4y' - 21y = sin(5t), y(0) = -3, y'(0) = 2 Using Y for the Laplace transform of y(t), i.e., Y = L(y(t)), find the equation you get by taking the ...
Answer to: (a) Consider the function z = 4 x^3 - 2 cos y^2 where x = e^t, y = t^2 - 5. Compute partial z / partial t. (b) Find dy / dx, if ln x^2 +...