The voltage, E, applied across an inductor with inductance L is given by E = L di dt Where i is the current through the inductor. For i = t e −t and L = 5 × 10−3 , find E.

Q: For a given table 10 14 y 4. 12 20 dy at r = 2 using forward difference formula. dx Find the value…

A:

Q: dy 4x2-х-2 : У(1) %3D 1 dx (х+1)(у+1)

A: Explained below

Q: The velocity (in ft/s) of a sky diver t seconds after jumping is given by v(t)=75(1−e^−0.2t) After…

A:

Q: Solve the following DE using variation of parameters (D – 1) y = e" + 1 -

A: Let's find.

Q: Find the general solution to the equation   t * ln(t)* (dr/dt)+r=9tet Use C as the unknown…

A:

Q: The temperature at a point on a. metal plate is given by Tlx,y)= x²+y? 2 a.) Find the directien ot…

A:

Q: If a ball is thrown into the air with a velocity of 58 f'/sec , its height (in feet) af ter t…

A:

Q: 1 In (a² + y? + 1) dædy -VI-y? |

A: I use polar conversion method to solve this double integral

Q: jjj dx is equal to 3+ex 3+e 3 { A } I {C } In; 3 3+e 3+e 4 {В} In {D} In: 4 3+e

A:

Q: Given the e dz nd y, find ar

A: Given: xlny=zArctan3zy

Q: Given e = 98 sint + 24 and y = 98 cost +3 da (*) dt dy (é) dt dy (é) da ||

A:

Q: Use Euler's modified formula to find an approximate value of y whenx = 0.3, given that = x+y and…

A: Given  dy/dx = x+y and y(0)=1 To determine y(0.3) using Euler's modified formula

Q: The radius r and height h of a right circular cylinder are related to the cylinder’s volume V by the…

A: It is given that, the height (h), radius (r) and volume (V) of a cylinder are related by the…

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

A:

Q: Simplify the expression shown.

A: Given:

Q: t +t dt

A: Antiderivative: Integration is the inverse process of differentiation.  The operation of finding the…

Q: -30t si'n got dt

A: We know, ∫eatsinbtdt=eata2+b2[asinbt-bcosbt]+C, C is a constant

Q: The temperature in Fairbanks is approximated by T(x) = 37 sin (x-101)+25, 365 where T(x) is the…

A:

Q: Given r = 3 ln(t) and y= 9 t then find dy da dy da2

A:

Q: Låt f(r, y) = 1+ y? Given the absolute errors Ex in x and Ey in y, derive a formula for the absolute…

A:

Q: Assume that the average molecular velocity v of a gas in a particular container is given by v(T) =…

A:

Q: The size of a population (in thousands), P(t), at time t is given by the equation dP %3D — Р(Р —…

A: In this question,  the size of the population is given by dPdt-P(P-2)(P-10) Here we need to find the…

Q: Use the correet fransformation to Find the solution of the Problem below. 一00<Xく00 0< Y<1…

A:

Q: in the tank at t minutes is given by 10t c(t) = 25 +t' where c is measured in grams per litre. When…

A: Let's find.

Q: Solve for the DE equation associated by the given function: а. у %3D Ае2х + Bе* + C.

A:

Q: Given that y = 7 ln u and u = 6x? dy Use the formula dx dy in terms of x. dx dy du to find dz du

A:

Q: Solve the following using exact equation or linear whichever is applicable. (x− 2y)dx + (y − x) dy=…

A: Given: (x− 2y)dx + (y − x) dy= 0

Q: Find a solution to the SDE dX; = X,(ydX; + tdt), where y ER is a constant and Xo = 1.

A: The given equation is dXt=XtγdXt+tdt. The given initial condition is X0=1. The integration formula…

Q: The current in an electric circuit is given by the equation di Ri +L==0, dt - %3D where L and R are…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: the current in an electric circuit is given by di Ri +L==0 dt 18- where R=10 ohm and L=0.2 henry…

A:

Q: 1 dy 8. 2 dx у +1 (сosx) ;У(п) — 0

A:

Q: The radius r and height h of a right circular cylinder arerelated to the cylinder’s volume V by the…

A:

Q: At a website, the waiting time X (in minutes) bet ween hits has pdf fx) = 4e ", I20 Ar) = O…

A: Calculate the MGF using the formula.

Q: Which of the following is equal to ſ e®dt? А. ее В. ее + С С. ееx + С D. eet + C

A:

Q: Solve the given IVP. x²° = y² + xy y(1) = 1 %3D dx Hint: Use substitution to change the equation to…

A:

Q: Solve the  formula for the indicated variable. Mechanics F = mv2 / R  for R

A: The given equation is F=mv2R. To solve this equation for R , the variable R needs to be isolated…

Q: Finally, we substitute for u to write the answer in terms of x. Use C for the constant of…

A: ∫x3e7x4dx

Q: dP Р(а — ЬР), Р(0) — Ро wherе а,b and Po are constants dt

A: Where Po ,a,b are constants

Q: At all times, the length of the long leg of a right triangle is 3 times the length x of the short…

A: We have, longer length of right angled triangle is 3 times shorter length of the triangle.…

Q: For y = y(x), solve the ODE y" + 2 sech? (x) ·y = 0, given that y, (x) = tanh(x) is a solution %3D

A: Given ODE is y''+2sech2(x)·y=0.       (1) one solution y1(x)=tanh(x) is known. Let other solution is…

Q: For what value of c does dt = 1? %3D e0.2t Need Help? Read It

A:

Q: The velocity of a particle moving back and forth on a line is y = ds/dt = 6 sin 2t m/sec for all t.…

A: given the velocity of a particle moving back and forth on a line is y = ds/dt = 6 sin 2t m/sec for…

Q: 8. (y + 1) dx + (4x – y) dy = 0

A: Given Equation is y+1dx + 4x-ydy = 0

Q: Find L ft ={fe',01 el-s -1 b. 1-s e -1 et -1 а. 1-s C. 1+s e- -1 d. 1-s

A:

Q: E) + ») dy = 0 4x3 3 dx + y 3x

A:

Q: 5 3t2 (t3 + 4)°dt

A:

Q: Solve the following using Integrating Factor by Formulas. 2. y(2x – y + 1)dx + x(3x – 4y + 3)dy = 0…

A:

Q: (х5 + Зу) dx — х dy 3D 0

A: Given :                          x5+3ydx - x dy = 0Divide both sides by1x dx   1x dx x5+3ydx - x dy…