Use the Laplace transform to solve the given initial-value problem. 0 ≤ t < 1 y' + y = f(t), y(0) = 0, where f(t) = {₁ t≥ 1 ) u (t- y(t) = +

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A: Given the measure of the side of a square is  cm with a possible error of  cm.To approximate the…

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

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A: Given the differential equations. We need to plot the direction field manually and verify them using…

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Q: pls solve using differential equation thank you so much

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Q: 1. xy +y = xy

A: Given: xy'+y=xy3 ....i Rewrite the equation: y'+yx=y3 The given differential equation is of the form…

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A: In Bartleby, we do not address problems related to MATLAB. Therefore, we will answer the first…

Q: Finding solutions with Integrating Factors 10. Solve y(2xy + 1)dx + x(1 + 2xy – x³y³)dy = 0

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Q: A tank initially contains 100 gal of brine whose salt concentration is lb/gal. Brine whose salt…

A: Given that The initial volume of brine in the tank = 100 gal The initial salt concentration of brine…

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Q: Find solutions using Exact Equations 5. Solve (2t³ + 3y)dt + (3t + y – 1)dy = 0

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Q: Find a linear differential operator that annihilates the given function. (Use D for the differential…

A: to find differential operator that annhilates the given function 6+excos3x we know that…

Q: Consider x² dy + xy = C, where C € R. da (a) Is this ODE linear? Explain. (b) Suppose also that y(0)…

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