2 years ago

Find the general solution for the differential equation (dy)/(dx) + 3y = 18 Y=

Mathematics

1 answer:

harkovskaia [24]2 years ago

5 0

Answer:

$y=-e^{-3x-c_1}+6$

Step-by-step explanation:

$\frac{dy}{dx}+3y=18\\\\\mathrm{Substitute\quad }\frac{dy}{dx}\mathrm{\:with\:}y'\:\\\\y'\:+3y=18\\\\Rewrite\\\\\frac{1}{6-y}y'\:=3\\\\Solve \::\frac{1}{6-y}y'\:=3\\\\-In(6-y)=3x+c_1\\\\Isolate\:y\\\\\\y=-e^{-3x-c_1}+6$

You might be interested in

A triangle has two angles that measure 18.6 degrees and 113.4 degrees respectively. what is the measure of the third angle?

spin [16.1K]

Answer:

$x = 48$

Step-by-step explanation:

$18.6 + 113.4 + x = 180$

$132 + x = 180$

$x = 180 - 132$

$x = 48$

5 0

2 years ago

Whats 125% as a fraction and a decimal

ZanzabumX [31]

125% as a fraction is 1 25/100 and in decimal form it is 1.25.

5 0

3 years ago

Please help! really rusty on properties ^-^

marta [7]

A is additive equality, where -x and x adds to 0
b is distributive, where x(y+z)=xy+xz
c is multiplicative equality, where x*1=x
d is subtracting both sides by 3.

4 0

2 years ago

What is the scale factor for the similar triangle?

Julli [10]

Answer:

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Martin has a piece of purple yarn that is 3 1/2 inches long he has a piece of yellow yarn that is 3 5/6 inches Long how much lon

sweet-ann [11.9K]

Answer: