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Find the general solution of the differential equation d²y dy + 4 dx2 dx + 4y = e2* sin(2x).

Find the general solution of the differential equation d²y dy + 4 dx2 dx + 4y = e2* sin(2x).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Find the general solution of the differential equation d²y + 4 + 4y = e2x sin(2x). dx2 dx Find the general solution of the differential equation d²y + y = e2x + sinx + 2. dx2 Solve the differential equation x" + x = 6cos(2t), x(0) = 3,x'(0) = 1 , by using the Laplace transformation. %3D Solve the differential equation x" – 4x' – 12x = e3t – 2, x(0) = 0,x'(0) = 0 , by using the Laplace transformation. %3D Find and classify all the equilibrium solutions of the given differential dy equation dx (y² – 4)(y – 1)?, Represent the equilibrium solutions graphically.
Transcribed Image Text:Find the general solution of the differential equation d²y + 4 + 4y = e2x sin(2x). dx2 dx Find the general solution of the differential equation d²y + y = e2x + sinx + 2. dx2 Solve the differential equation x" + x = 6cos(2t), x(0) = 3,x'(0) = 1 , by using the Laplace transformation. %3D Solve the differential equation x" – 4x' – 12x = e3t – 2, x(0) = 0,x'(0) = 0 , by using the Laplace transformation. %3D Find and classify all the equilibrium solutions of the given differential dy equation dx (y² – 4)(y – 1)?, Represent the equilibrium solutions graphically.
Find the solution for L-1 {s +0+ 10}. (s-1)³ Find the general solution of (D² +µ)y = 0, satisfying the boundary conditions y(0) = b and y(L) = 0. . Solve the differential equation x²dy + y(x + y)dx = 0, by using Bernoulli's equations.
Transcribed Image Text:Find the solution for L-1 {s +0+ 10}. (s-1)³ Find the general solution of (D² +µ)y = 0, satisfying the boundary conditions y(0) = b and y(L) = 0. . Solve the differential equation x²dy + y(x + y)dx = 0, by using Bernoulli's equations.
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