Find the general solution to the given differential equation.

$$\frac{d y}{d x}=\frac{\dot{x}^2\ +\ x}{y\ + \ 1}$$

Use the General Power Rule to find the derivative of the function. $y=\left(2 x^{3}+1\right)^{2}$

Find the general solution to each differential equation.

$$\frac{d y}{d t}=\frac{4 y}{t}$$

Contesta las preguntas segt’ln tus preferencias. Qué pides de entrada por lo general?

When a distribution is mound-shaped symmetrical, what is the general relationship among the values of the mean, median, and mode?

In this exercise, write the first four terms of the sequence whose general term is given.

$$a_n=7 n-4$$

Write two or three sentences stating the general guidelines that you follow when solving exponential equations.

Find the general solution to the given differential equation.

$$d y=\left(x^2 y^3+x y^3\right) d x$$

Give the group number and general electron configuration of an element with each electron-dot symbol:
(b) $\cdot \dot{x}$.

The given matrix equation is not true in general. Explain why. Assume that all matrices are $n \times n$. $A^{2}-B^{2}=(A-B)(A+B)$

Write the first four terms of each sequence whose general term is given.

$$a_n=(-1)^n(n+3)$$

Find the general solution of the differential equation specified.

$$\frac{dy}{dt} = 2ty^{2} + 3y^{2}$$

A nonhomogeneous equation and a particular solution are given. Find a general solution for the equation.

$$y'' = 2y' - y + 2e^x , y_p(x) = x^2e^x$$

Find the general solution of the first-order linear differential equation for x>0. $xy^{\prime}+y=x^{2} \ln x$