Verify that the solution x= (A+ Br)e™"/2m 50 Dampedi satisfies the equation mž + r* + sx = 0 when P/Am² = s/m

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Q: what is the Solution ofequation とdx +(2Xlogk - メy)dyニ。

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Q: dy dy +у сos x + 2xey — Зх2 %3D (1 — х?ey) dx sin x dx

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Q: dy Solve : x +y=Dy' log x. dx

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Q: Q5: Simplify the following then find the dy /dx a) y = (logy y2*) (estn 2*) (tan-!x)

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

Q: Find the value of dw/dt if w = x2+y2, x = 26 cost and y = 26 sint

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Q: nd ifzxy+In(x) . x-r-I and y=e dt

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Q: ㅈ Sa 0 tan²4t dt = 2

A: The given integral is:∫0π4 tan4t dt

Q: Solve PV = nRT for T. nPV AT RI PV B nR CT=PV - nR DT=NPVR

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Q: Solve the integral equation X = Jo e*-fg(t) dt.

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Q: Find general solution for y"+y=0.5cos(0.8t) and state whether it is undamped, underdamped,…

A: In the given question we have to find the general solution of the given differential equation which…

Q: 5. y = l 1- co s x 1+co s x

A: We have to find out dy/dx for given y

Q: •1 1 g(x) = dt 2x In(t + 1)

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Q: Find dx 1- y = log (Sin x )- Cot - Vx 3 2. y = log( vx) = tan(x - y) 3- x Sec -x = y? log (sec x) 4-…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1.) Interpret: For each polynomial function: sketch a graph, describe the end behavior, determine…

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Q: Find a root of tanx = 4x + 1 that satisfies Er 10-6 using Newton-Raphson method.

A: By newton-raphson method:xn+1=xn-f(xn)f1(xn); n=0,1,2,3,.....

Q: ydx -( x+***ty? dy = 0

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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.