Recent questions tagged inverse laplace transforms

+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

Prove ∫∫(x-u) ∈[0,x] ∈[0,t] f(u) du

asked Apr 2, 2019 in JEE by kratos

+2 votes

1 answer

For an LCR circuit driven at frequency ω, the equation reads L di/dt+Ri+q/C=vi=vm sinωt

asked Apr 1, 2019 in JEE by kratos

+3 votes

1 answer

Show that ∫e^-x^2dx for x ∈ [0, ∞] = √π/2

asked Mar 22, 2019 in JEE by kratos

+1 vote

1 answer

If x = e^cos2t and y = e^sin2t , prove that dy/dx = ylogx/xlogy

asked Mar 22, 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

+3 votes

1 answer

If the substitution x = tan–1(t) transforms the differential equation d^2y/dx^2 + xy(dy/dx) + sce^2x = 0

asked Mar 16, 2019 in JEE by kratos

+2 votes

1 answer

Solve by using Laplace transforms dx/dt - 2y = cos2t, dy/dt + 2x = sin2t, x = 1, y = 0, at t = 0.

asked Mar 11, 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

+1 vote

1 answer

A particle moves along the x-axis according to the law d^2x/dt^2 + 6 dx/dt + 25x = 0.

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

Using Convolution theorem find the inverse Laplace transforms of the functions: *^2/(*^2 + a^2)(*^2 + b^2).

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

The current i and charge q in a series circuit containing an inductance L, capacitance C e.m.f E satisfy the D.E. Ldi/dt + q/C = E, i = dq/dt·

asked Feb 12, 2019 in JEE by kratos

+2 votes

1 answer

The 3-dimensional Laplace equation is

asked Feb 10, 2019 in JEE by kratos

+2 votes

1 answer

A particle is moving with damped motion according to the law d^2x/dt^2 + 6dx/dt + 25x = 0.

asked Feb 5, 2019 in JEE 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

+1 vote

1 answer

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

asked Jan 24, 2019 in Mathematics by kratos

+2 votes

1 answer

If ∫e^-x^2dx for x ∈ [0, ∞] = √π/2, then

asked Jan 23, 2019 in JEE by kratos

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