Solve the following D.E. dy +3y= e . dt 2t y( 0) = 3

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Q: Hi, can I get help with this problem? Thank you! 4.1

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Q: dy Write down a differential equation of the form dt solutions all approach y = as t- →8. y' = = 78…

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Q: dy Write down a differential equation of the form dt all other solutions diverge from y = 8 as t →…

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A: "Since you have posted multiple questions, we will answer the first question.  If you want the…

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A: The solution to the given differential equation is explained below.

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A: The general solution of a differential equation always contains a constant of integration. The…

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Q: dy 1. + ty? = 0 dt

A: Since you have asked multiple questions in a single request so we will be answering only first…

Q: Solve the following initial value problem. dy +x, x> 0; y(2) = 5 .3 dx

A: Given: dydx=1x3+x, x>0; y(2)=5

Q: dy Write down a differential equation of the form dt 7 solutions all approach y = 6 = as t→∞. = ay +…

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Q: Solve the Following Bernoulli Equation dy = y – y² – ya | dt Show ALL Workings

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A: Let the differential equation whose all solutions approach 32 be dydt=ay+b. As t→∞, the solutions…

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Q: dy Write down a differential equation of the form dt all other solutions diverge from y = 4 as t →∞.…

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Q: Solve the following Initial Value problem in the form y = f(t) (dy/dt) = -2y + t^2, y(0)=1

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A: We have to determine a differential equation of the form dydt=ay+b. The solution of differential…

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Q: Solve the following initial value problem: y2t (dy/dt) - t + 1 = 0 ; y(1) = 3

A: Given: -

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A: To Determine: Solve the initial value problems Given: we have…

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Q: Question 3 Solve the Bernoulli equation for y. dy = 4y + y°. dt Use the following initial condition:…

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A: Solution is given below:

Q: Solve the following initial value problem:  (t2 -10t +21)*dy/dt = y with y(5) = 1

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Q: Obtain the general solution to the equation.   (2t+y+5)dt−dy=0

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Q: dy Write down a differential equation of the form dt all other solutions diverge from y 9 as t →∞. =…

A: The differential equation has a form dydt=ay+b whose all other solutions diverge from y = 9 as t→∞

Q: Find the function y(t) that satisfies the differential equation dy 2ty = 6te" !! dt and the…

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Q: Solve the following initial value problem: dy =-2y+ 6 y (0) = 7 dt y (t) = %3D

A: we are allow to solve one question at a time thank you

Q: dy Write down a differential equation of the form dt solutions all approach y as t→∞. y' = 78 = ay +…

A: It is given that y=78 as t→∞. The objective is to find the differential equations of the form…

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Q: Solve the following initial-value problems starting from y(t = 0) = 1 and y(t = 0) = -1. dy = 6t dt…

A: To solve the below differential equation for y(0) = 1 and y(0) = -1. dydt=6t