Recent questions tagged laplace transform

+3 votes

1 answer

Solve by the method of variation of parameters y" + 4y′ + 4y = 4 + e^-2x/x.

asked Apr 7, 2019 in JEE by kratos

+3 votes

1 answer

Find the Inverse Laplace transform of (* + 1)/(* - 1)^2(* + 2).

asked Apr 5, 2019 in JEE by kratos

+3 votes

1 answer

Find L [cos h 3t δ (t – 2)].

asked Mar 31, 2019 in JEE by kratos

+3 votes

1 answer

A particle moves on the curve x = 2t^2, y = t^2 - 4t, z = 3t - 5 where t is the time. Find the components of velocity and acceleration at time t = 1

asked Mar 21, 2019 in JEE by kratos

+2 votes

1 answer

Solve using Laplace transforms, y" + 2y′ + y = 6te^– t given y(0) = 0, y′(0) = 0.

asked Mar 21, 2019 in JEE by kratos

+2 votes

1 answer

In each part, find the solution of the initial value problem by the method of Laplace transforms. y" − 6y' + 9y = e^3x, y(0) = 0, y'(0) = 1.

asked Mar 5, 2019 in Mathematics by kratos

+3 votes

1 answer

A periodic function of ****** 2π/ω is defined by f(t) = {(E sin ωt, 0 ≤ t < π/ω) (0, π/ω ≤ t < 2π/ω)

asked Feb 26, 2019 in JEE by kratos

+2 votes

1 answer

Solve d^3y/dx^3 - y = (e^x + 1)^2.

asked Feb 25, 2019 in JEE by kratos

+3 votes

1 answer

Prove that ∫te^-2t sin3tdt for t ∈ [0, ∞] = 12/169.

asked Feb 24, 2019 in JEE by kratos

+2 votes

1 answer

Solve y" + 4y′ + 4y = 0 given that y = 0, y′ = –1 at x = 1.

asked Feb 17, 2019 in JEE by kratos

+2 votes

1 answer

If f(x) = e^g(x) and g (x) = ∫ tdt/1 + t^4, for t ∈ [x,2] then f'(2) is (a) 2/17 (b) 0 (c) 1 (d) cannot be determined.

asked Feb 15, 2019 in JEE by kratos

+2 votes

1 answer

Find the Laplace transform of: (i) e^2tcos^2t (ii) (1 - cos3t) /t

asked Feb 15, 2019 in JEE by kratos

+1 vote

1 answer

Express f (t) in terms of the Heavisides unit step function and find its Laplace transform: f(t) = {(t^2, 0 < t < 2) (4t, 2 < t < 4) (8, t > 4)

asked Feb 7, 2019 in JEE by kratos

+3 votes

1 answer

A motion is described by y= 4e^x(e^-5t) where y, x are in metres and t is in second.

asked Feb 3, 2019 in Class 12 by kratos

+3 votes

1 answer

Using Laplace transforms: Evaluate ∫e^-t tsin^23tdt for t [0, ∞]

asked Feb 2, 2019 in JEE by kratos

+2 votes

1 answer

If L{ f (t)} = F (*) then prove that ∫f(t)/tdt for t ∈ [0, ∞] = ∫F(*)ds for * ∈ [*, ∞] provided both

asked Jan 31, 2019 in JEE by kratos

+3 votes

1 answer

Find L^-1[2s/(*^2 - 1)^2]

asked Jan 29, 2019 in Mathematics by kratos

+1 vote

1 answer

The laplace transform of 1/(a - b)(ae^at - be^bt) is

asked Jan 24, 2019 in Mathematics by kratos

+3 votes

1 answer

Find L^-1[(5s^2 - 15s - 11)/(* + 1)(* - 2)^3]

asked Jan 22, 2019 in Mathematics by kratos

+3 votes

1 answer

Using convolution theorem find L^-1[1/(* + a)(* + b)]

asked Jan 9, 2019 in Mathematics by kratos

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