Armorikam
2021-03-21
Answered

Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation.

$\frac{dy}{dx}=4{e}^{-3x}$

You can still ask an expert for help

insonsipthinye

Answered 2021-03-23
Author has **83** answers

Step 1: Given that to

Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation.

$\frac{dy}{dx}=4{e}^{-3x}$

Step 2: Solve

The given differential equation is a type of Variable Separable differential equation.

So, to solve this type of differential equation we have,

$\frac{dy}{dx}=4{e}^{-3x}$

$dy=4{e}^{-3x}.dx$

Integrating both sides we obtain,

$\int dy=\int 4{e}^{-3}.dx$

$y=4\left[\frac{{e}^{-3x}}{-3}\right]+C$

$y=-\frac{4}{3}{e}^{-3x}+C$

$3y=-4{e}^{-3x}+3C$

Find the general solution for each differential equation. Verify that each solution satisfies the original differential equation.

Step 2: Solve

The given differential equation is a type of Variable Separable differential equation.

So, to solve this type of differential equation we have,

Integrating both sides we obtain,

Jeffrey Jordon

Answered 2021-11-19
Author has **2027** answers

Answer is given below (on video)

asked 2020-10-18

Find a least squares solution of Ax=b by constructing and solving the normal equations.

$A=\left[\begin{array}{cc}3& 1\\ 1& 1\\ 1& 4\end{array}\right],b\left[\begin{array}{c}1\\ 1\\ 1\end{array}\right]$

$\stackrel{\u2015}{x}=$ ?

asked 2021-12-03

Solve each equation for y. Then find the value of y for each value of x.

y + 2x = 5; X = -1,0,3

y + 2x = 5; X = -1,0,3

asked 2022-05-17

Solve for w: -7w=3.

asked 2021-11-16

Find a relationship between x and y such that (x, y) is equidistant (the same distance) from the two points. (-1/2, -4), (7/2, 5/4)

asked 2021-09-22

For the equation (-1,2), $y=\frac{1}{2}x-3$ , write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of the given equation.

asked 2021-10-02

Determine whether the given problem is an equation or an expression. If it is an equation, then solve. If it is an expression, then simplify.

asked 2022-05-05

Solve for x in the equation 1-7x=0.