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scoundrel [369]
3 years ago
6

Help please and thank you!

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

y = 2/5x + 3

Step-by-step explanation:

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Find the value of kk for which the constant function x(t)=kx(t)=k is a solution of the differential equation 5t3dxdt+2x−2=05t3dx
uranmaximum [27]
Given the differential equation

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5t^3 \frac{dx}{dt} +2x-2=0 \\  \\ \Rightarrow5t^3 \frac{dx}{dt} =2-2x \\  \\ \Rightarrow \frac{5}{2-2x} dx= \frac{1}{t^3} dt \\  \\ \Rightarrow \int {\frac{5}{2-2x} } \, dx = \int {\frac{1}{t^3}} \, dt \\  \\ \Rightarrow- \frac{5}{2} \ln(2-2x)=- \frac{1}{2t^2} +A \\  \\ \Rightarrow\ln(2-2x)= \frac{1}{5t^2} +B\\  \\ \Rightarrow2-2x=Ce^{\frac{1}{5t^2}} \\  \\ \Rightarrow 2x=Ce^{\frac{1}{5t^2}}+2 \\  \\ \Rightarrow x=De^{\frac{1}{5t^2}}+1
3 0
3 years ago
What is the value of 34 + 3.5(−44÷2)? <br><br>a.−111 <br><br>b.−43 <br><br>c.43 <br><br>d.111
mart [117]

Answer:

b

Step-by-step explanation:

-44÷2=-22

34+3.5*-22= -43

5 0
2 years ago
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