d²y + 3 dy dt dt +2y = 5(t−5)+U(t−10), y(0)=0, y'(0)= — -

Q: 1 y" + (у)? %3D уу' у(0) %3D 1, у'(0) -

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Q: dy/dt^2 – 4dy/dt – 5y =0, y(1) =0 ; y’(1) =2

A: Given differential equation d2ydt2-4dydt-5y=0  , y(1)=0 and y'(1)=2

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A: We have to use derivative under the functional limit formulae first then put x=2.

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Q: y(t) = d²y dt² - dy dt 4. - 5y = 0, y(1) = 0, y'(1) = 3

A: we are given a differential equation and we need to find its solution.

Q: 13. Equation from Exercise 1; y(0) = 1, y(-2) = -1, y(0) = 3, y(0) = 2. %3D

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Q: solve using ODE from t=0 to 2 when y(0)=1 dy/dt= yt^3 - 1.5y

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Q: x2y" + xy'+ y = 2x

A: The differential equation is x2y''+xy'+y=2x. The equation is in the form of a second order Euler non…

Q: Find dt dt dy dx dt dt "I and 1층 x = stet y = 2t + sin(t)

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Q: Fnd the solution to the initial value problem: dy/dt = (2t)/(y+t^(y)), y(0) = -2

A: Here the question should be , dy/dt=(2t)/(y+(t^2)y ) , y(0)=-2. I have solved it accordingly .…

Q: For the given ODE: ) Convert the higher order ODE to a first order system in matrix form. i) Solve…

A: iwe have, y''+3y'+2y=0 Put x1t=yt x2t=y't ⇒x1'=y'=x2x2'=y''=-3y'-2y       from i…

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A: Here,

Q: Solve x’y dx = (x'+y°)dy X +

A: