Solve the given initial value problem. y'"'-8y" +27y' - 44y=0; y(0)=1, y'(0) = 0, y''(0)=0 y(t) =

Q: Match the D.E. with a direction field: y' = t+y – 1, , y' = sin(t)sin(y), , y' = 2 – y, , y' = t(2 –…

A: NOTE: Horizontal axis is t-axis  .

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A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

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Q: In Calculus you will see the symbol y'. Treat y' as a variable and solve the equation for y. 6y²y +…

A: To solve the following equation for y'. 6y2y'+30xy+6x2y'=5y2+25xyy'

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Q: Solve: y''' + 6y'" – y' - 30y = 0 y(0) = - 2, y'(0) - 15, y''(0) = 45 y(t) =

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A: Given,  y'=7x+xy,  y=-4 when x=0

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A: Step 1: Step 2:Step 3:Step 4:

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Q: Solve: y'''−5y''+33y'−29y=0 y(0)=−1,  y'(0)=−18,  y''(0)=−17 y(t)=

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Q: (1) Solve x'= 2. -36

A: Since, you have posted multiple questions but according to guidelines we will solve first question…

Q: y''' — 4y'' + 13y' + 50y 0 y(0) = 4, y'(0) = 10, y’’(0) = 42 y(t) =

A: Given: The differential equation is y'''-4y''+13y'+50y=0 with initial conditions y0=4, y'0=10,…