A LTI systemis deseribed by the DeE ý+6y+8y=2x4) find hit),then find.y(t).if X(t) = te t>o. -2t %3D

Q: The solution of: v(t) = e =t + ] sin(t - T)y(T)dt , in terms of convolution is:

A: Convolution theorem of Laplace transform    Laplace transforms of the functions Inverse Laplace…

Q: EVALUATE AND SOLVE THE LINEAR DE. d²x dx + 2,+ 5x = 8e¬ dt2 dt dx When t=0,x=0 dt 8 =

A: Given that: d2xdt2+2dxdt+5x=8e-t

Q: Use the Euler's method to obtain a four-decimal approximation of the indicated value. Use h = 0.1.…

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Q: xy dx (x² + 3y) dy = 0 -

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Q: E e dt Evaluale

A: Gamma function

Q: Given a level suface 4x2y2 + 5xy = 4 with y = y(x). Find! dy at the point (3, 2). Give your answer…

A: A detailed solution is given below

Q: Solve the following LDE using Laplace method and Cramer's rule dy dy x - 2y = 16tet, 2x dx – 2y =…

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Q: y' + 2x³y = 0 diferansiyel denkleminin çözümü aşa Lütfen birini seçin: a.

A: It is evident that we need to find the solution to the integral. Note: Kindly post questions in…

Q: What guess would would make for the particular solution to the linear, non-homogeneous d'y dy +10 +…

A: Here we will find out the required value.

Q: 3. y = 1+Vx eğrisi, y = 3 – x doğrusu ve eksenler arasında kalan bölgenin koordinat düzleminin 1.…

A: Given the curve y=1+x, and the line y=3-x. Find the area between the curve, line  and bounded by the…

Q: Solve by FDM with two Dirichlet BCs. d²y ET 2. 2.

A: Solution:  Given that,

Q: Given that y' = 2x2 – y + 3y2, where y = 0.5 at x = 2. Estimate the values of y(2.4) using the…

A: Let y'=f(x, y). Runge-kutta method of  fourth order also known as RK-4 method uses the formulas…

Q: Consider a body that moves horizontally through a medium whose resistance is proportional to the…

A: GIVEN: dvdt =-kv2 v(t) = v01 + v0 k t

Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation of the indicated value.…

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Q: Modify the method of Cauchy-Euler DEQ to find a general solution to the following DEQ for t > 2 (t –…

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Q: 2. Used Euler's method to approximate y (0.5) and y (1) for the I.V.P y' = y + xe2x, y(0) = 1.

A: Given y'=y+xe2xand y0=1

Q: e{f; 3et dt } = A(s) A(s) değerini s'e bağlı bulunuz. s =1 için A değerini hesaplayınız.

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Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation to the indicated value.…

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Q: into Makimation W= lly, thys tl443 minim.ze SubJect to t Y2 t. I 36 Y,2 0, Yz Z 0, Y3Z O

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Q: The solution of ë+w?x = fsin wt with initial conditions r(0) = 0 y a(0) = 0 is given by %3D %3D

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Q: 3. Classify the following PDE as (i) Linear or Nonlinear, (ii) Homogeneous or nonhomogeneous a. x…

A: Given partial differential equation is xuxx - yuyy = 4

Q: (2) Evaluate 6y dV, where E = {(1, y, 1) | 0 < z < ry, 0 < y S 1, 0SISY} %3D

A: The objective of the question is evaluate the integral.

Q: Use the RK4 method with h = 0.1 to obtain a four-decimal approximation of the indicated value.…

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Q: 4. 2a y' = y (y² + 3x?)

A: For the solution follow the next steps.

Q: 4. Suppose that z = x³y, x= t², and y = t³, find . dt = 12t11 dt 11t10 b) = 10t° dt d) = 9t® dt

A: This question is related to differentiation, We will solve it using given information.

Q: 1 The linear approximation at = 0 to is V2 – x A + Bx where A is: and where B is:

A:

Q: Calculate . (x² + x²)e²as, where S is the cylinder with equation x² + y² = 9 for 0 < z < 10.

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Q: Using the Euler's method with step size h = 0.2, approximate y(0.4) if %3D y = y? – 2.2, y(0) = 1.

A: The solution is given by using the Euler's method as follows

Q: Given PD : y' = x – 2y + 1 ; y(1) = 3. With the modified Euller method. determine the value of y at…

A: Let us solve the PD using modified Euler method in the next steps.

Q: The general solution to: y'' – y' + 4y = 0 %3D is: y(x) = %3D Typle c_1 and c_2 to get c1 and c2 and…

A: We have to find the solution

Q: Let u be the solution of the Dirichlet problem Au = 0, in B 1 if r, <0 3 if r, 20 What can you tell…

A: We are given a Dirichlet boundary problem : ∆u = 0  inside B u|∂B = 3 if xn≥0 And we have to predict…

Q: As a special case in which the error of Euler's method can be analyzed directly, consider Euler's…

A: Given,   Y'(t)=y(t),   Y(0)=1

Q: Given z = 15 In(t) and y =225 t then find dy da dy da?

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Q: valuate |v(t)dt 1

A: We have given a graph in which the velocity v(t) of an object moving along a line is given where…

Q: Find u(x, t) for the string of length L = 1 and c² = 16 when the initial velocity is zero and the…

A: In this question, we solve the wave equation…

Q: 3. Use the Modified Euler method to approximate the solution to the following initial-value problem:…

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Q: a When reduced to a linear DE of order one in z, the Bernoulli's equation dx becomes dz A + z( − 1)…

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Q: The D.E. xy = y(lnx - Iny) is Select one: a. Linear b. Exact c. Homogeneous d. Separable

A: Linear differential equation A polynomial in unknown function and its derivatives. Exact…

Q: Find a positive value of k for which y=sin⁡(kt) satisfies d2y/dt2+16y=0.   k=

A: Double derivative

Q: 2. Compute ¡ E x dV , where E “ tpx, y, zq | x ď 0, z ď 0, x2 ` y 2 ` z 2 ď 9u

A: The given integral,

Q: If W = xyz with x = 2t*, y = 3t-, and z = 4t¬³, what is dw dt 24 O In(t)

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Q: dy e, solve the IVP = 40 dt 5y y(0) = 10. - %3D 100-4t cag

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Q: This content X (in percent) and impurity Y (in percent). LtX 4.2-10. A certain raw mnaterial is…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: dz Find given: dt z = xe", x = tº, y = 1+ 4t

A: Given,          z=xe3y , x=t6 , y=1+4t

Q: d²y +y = d' sec{t) dt dt² dy y(0) = 0; (0) = 1 dt

A: The given differential equation is,d2ydt2-2dydt+y=etsec(t)

Q: A series RL circuit with R = 5 Q and L = 1 H has a constant voltage E = 10 V applied at t = 0 by the…

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Q: Use Runge-Kutta method of order four with step-size h = 0.25 to approximate the solution for 2 st<3…

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Q: The indicated Turi Is a solution of th1e given d merentiai equation. Ose iula (5) Tn Section 4.2…

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Q: dy The D.E. y2 – a? - can be classified as %3D dæ (A) First-order linear (B) Separable (C)…

A: We break this into simplier form then identify it's property.

Q: An integrating factor (of the form u(x, y) = x" + y") for the DE. ydx + 5xdy = 0 is O is + y * + y?…

A: Solution: The objective is to find the integrating factor of the given differential equation