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antiseptic1488 [7]
2 years ago
13

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

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2 years ago
Which of the following statements are true?
elena-14-01-66 [18.8K]

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Step-by-step explanation:

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3 years ago
X ÷ -6 = 10 what is x?​
Ostrovityanka [42]

Answer:

x=-60

Step-by-step explanation:

convert to  x over -6  =10

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3 years ago
Read 2 more answers
19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their p
Lyrx [107]

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

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B = (4/5)S

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Substitute (4/5)S for B into the second equation to only have one variable

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(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

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2 years ago
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Natalka [10]

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y=-1/2x+2

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