The equation of the horizontal asymptote is y = 1 y = 1. Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

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我看你资料是中学生哈，所以我们从数学角度上来看：首先，确定函数单调性，由于e^x是单调递增的，1/e^x不难看出单调递减的。 其次，我们可以取一些特殊点计算函数值，比如x=0时，y=1； 以及，可以取一些其他点，x=-1, x=1, x=2, x=3, x=4等，分别用计算器算出函数值。 然后连线，就可以用纸笔大致绘制出函数曲线的形状。 另外，我们可以用网络上的工具。 比如这个网站（ …

2016年8月18日 · differentiate using the power rule and chain rule. y = 1 ex = e−x. ⇒ dy dx = e−x. d dx (− x) = −e−x = 1 ex.

How do find the y-intercept of y = 1−ex ? The y-intercept of \displaystyle {y}= {1}- {e}^ { {x}} is 0 Explanation: The y-intercept is the value of \displaystyle {y} when \displaystyle {x}= {0} \displaystyle {\left (\text {anything}\right)}^ { {0}}= {1} ...

There are several methods that can be used to solve ordinary differential equations (ODEs) to include analytical methods, numerical methods, the Laplace transform method, series solutions, and qualitative methods. To solve ordinary differential equations (ODEs) use …

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2024年12月16日 · Transcript. Ex 9.4, 10 In each of the Exercise 1 to 10 , show that the given differential equation is homogeneous and solve each of them. (1+𝑒^(𝑥/𝑦) )𝑑𝑥+𝑒^(𝑥/𝑦) (1−𝑥/𝑦)𝑑𝑦=0 Step 1: Find 𝑑𝑥/𝑑𝑦 (1+𝑒^(𝑥/𝑦) )𝑑𝑥+𝑒^(𝑥/𝑦) (1−𝑥/𝑦)𝑑𝑦 = 0 (1+𝑒^(𝑥/𝑦) ) dx = −𝑒^(𝑥/𝑦) (1−𝑥/𝑦)𝑑𝑦 𝒅𝒙 ...

2017年12月11日 · y=1/ (1+e^-x)的图像讨论函数的性态再作图。 先求导，再判断单调性，凸凹性。 求函数在无穷远处的极限。 作图：

Step-by-step solutions for differential equations: separable equations, first-order linear equations, first-order exact equations, Bernoulli equations, first-order substitutions, Chini-type equations, general first-order equations, second-order constant-coefficient linear equations, reduction of order, Euler-Cauchy equations, general second-orde...