Suppose a(t) = (45/2)Vt + 2e -t, v(0) = -2, and s(0) = 7. Find s(t). s(t) =D %3D

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A: The solution of above question is written below.

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A: Make some simplification and rearrange the given differential in exact form.

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A: To solve the given Differential Equations.

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Q: 4 solve the D.E " -X² Joly =0 3x2 ydx + LY

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Q: b) Use the initial condition x(0) = 2 to find the particular solution of dx - 2x = 2e3t dt

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Q: y(x + y+ 1)dæ = –(x+ 2y)dy,

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Q: Solve the initial value problem. dx dt -4tx=t Int+3, x(1) = 0

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Q: d Q. – L dx VE In(t)dt equals a. 4x³ (In x) – V2 ln(2) b. 4г5 (In a) — V2ln(2) c.4x³ (ln x) d. 16x°…

A: To evaluate given expression

Q: Q5. Write the governing equation of 1-D heat transfer with convective heat loss and indicate all the…

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Q: Q2: Find the general solution of the following linear second order inhomogeneous O.D.E.: ý-y=e*

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Q: If I have 2 for the degrees of freedom with an alpha of 0.05, what would be the critical value of t?

A: we have given that  degree of freedom ( df )= 2  level of significance (alpha)=0.05

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A: What is the Order of Differentiation: The order of differentiation is the number of times the…

Q: (b) compute an estimate of x(1) for the initial-value problem dx 1+x x(0) = -2 dt sin (t+1)'

A: Problem is solved using second-order predictor-corrector method.

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A: Given query is to find the solution of the differential equation.

Q: ) Solve ac-4xdx+ xly=0 using the integrating factor M= to

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Q: Solve the initial value problem - zy, y(0)-0.35502805. (0) 0.25881940 --

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Q: There is considerable evidence to support the theory that for some species there is a minimum…

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A: topic - indefinite integral

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A: This question is about application of integration

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Q: 1) Find dy/dt for if : y = log2 (81n 2)

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Q: solve the initial value problem dx/dt= x-x^3 with x(0)=x0

A: From the given statement, the initial value problem dx/dt =x – x3 with x (0) = x0.

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.