1-t2 is 1+t2 The differential of u= In 2 |dt t4 – 1 A du = 2t В du = |dt t4 – 1 (c) none of the given choices -2t dt t4 – 1, (D du = E du -2 |dt =

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A: To check that a function is  a solution of a differential equation, if we substitute in the left…

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A: The given boundary conditions Tt,0=100 and Tt,L=200, are nonhomogeneous. So, use the steady-state…

Q: 1-t2 is 1+t2 The differential of u=In -2 dt t4-1 A du = du = dt -2t dt t4 -1 du = none of the given…

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Q: Consider tuo solutions x=X, (t) & x = %½(t) %3D of the differential equation d* x(t) + x(t)= 0 t70,…

A: Let us consider the given differential equation of the form y''+p(t)y'+q(t)y=0 then the Wronskian of…

Q: b) Solve the given system of differential equation by laplace transformation dx = x- y dt dy — 5х -…

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Q: To reduce the differential equation with linear coefficients (X +2y-4)dx – (2x+ y- 5)dy=D0 to a DE…

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Q: b) Solve the given system of differential equation by laplace transformation dx = x - y dt dy 5х —…

A: dxdt=x-y   dydt=5x-y x0=-1 , y0=6sxs-x0=xs-ys By taking laplace…

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A: We will find out the required differential equation.

Q: The order and degree of the partial differential equation respectively 26 z 7 dz () + x = y? is, dy…

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Q: 21. The differential modelling of the effect of a shock. absorber is given by: d'y…

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A: Thanks for the question :)And your upvote will be really appreciable ;) correct option :- C

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Q: 1-t2 is 1+t2 The differential of u= In. -2t (A) du= dt t4 – 1 2t |dt t4 –1) B) du = © a- 2 dt t4 –…

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Q: Consider the ordinary differential equation y" + 5y' + 4y2 = 2t. Let y1 = y(t) and y2 = y'(t). Write…

A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: Q4. a) Without using the shift formula prove that Laplace of f (t) = e−at coswt is w2/(s+a)2+w2 b)…

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Q: dy + 6y = 7e-3t is dt The solution of the differential equation using Laplace transform „given that…

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Q: 6. Find the solution of the differential equation y"(t) - 3y'(t) + 2y(t) = 4; y(0) =y'(0) = 0 using…

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Q: 1-t2 is 1+ t2 The differential of u= In. 2t dt t4 – 1 A du = O a-( -2t dt t4 - 1 B du = © av-(* c)…

A: Explained below

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A: Given differential equation d2ydx2+3dydx+10y=e−7t and initial condition y0=0 and dydxt=0=0 that is…

Q: b) Solve the given system of differential equation by laplace transformation dx = x - y dt dy 5х —…

A: Begin by applying the Laplace transform to both sides of each equation:

Q: Solve the given system of differential equation by laplace transformation dx/dt=x-y dy/dt=5x-y…

A: Given :- The given system of differential equation by Laplace Transformation dxdt = x - ydydt = 5x -…

Q: b) Solve the given system of differential equation by laplace transformation dx = x-y dt dy 5х - у.…

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Q: yı(x) = ež, y'¿(x) = xe y" – y' + 0.25y = 0, c. Verify if the functions yı and y2 are solution of…

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Q: 1. Let y(x) = 2e-3= + x +1. dy Find and verify that y satisfies the differential equation dr dy 3r –…

A: find dy/dx

Q: 2) a) Solve the differential equation dy (t) , s¢v (t)+ 4y(t)=u(t). y(0)=0. 3- +5- dr dt j(0)= 0,…

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Q: 1-t2 is 1+ t2 The differential of u=In, 2t dt tA – 1 A du= B du=| dt =(_2t dt t4 – 1 D) none of the…

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Q: To reduce the differential equation with linear coefficients (x+2y- 4)dx– (2x+ y- 5)dy= 0 to a DE…

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Q: b) Solve the given system of differential equation by laplace transformation dx/dt = x-y dy/dt =…

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Q: 1- t2 is The differential of u=In, 1+t2 -2t |dt t4 – 1 A du = 2t |dt t4 – 1 B) du = none of the…

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Q: Solve the partial differential equation subject to u(0, t) %3D 0, и(1,t) — 0, t>0 и (х,0) — 0, du…

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Q: To reduce the differential equation with linear coefficients (x +2y-4)dx – (2×+y-5)dy=0 to a DE with…

A: Given differential equation (x+2y-4) dx - (2x+y-5) dy = 0 ⇒ (2x+y-5) dy = (x+2y-4) dx ⇒ dydx =…

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Q: Consider the differential equation y" +9 y = 6 (t) +8 (t-2) for a system that is initially quiescent…

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Q: To reduce the differential equation with linear coefficients (X+2y-4)dx - (2x+y-5)dy=D0 to a DE with…

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A: Here, we use definition of regular singular points.

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Q: The solution of the differential equation using Laplace transform + 6y = 7e 3t is dt dy given that…

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Q: 4. Find the solution for the second order differential equation: d?y dy - 4 -5y = 0, dt2 dt given…

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Q: 1-1? is 1+t2 The differential of u= In, A) 2 at du= 2t dt du=-1 B -2t dt -1 du = du = E none of the…

A: We have to find u'  u=ln √(1-t^2)/(1+t^2)

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