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P1:Solve the following differential equation using laplace transform 2- y₁ = -y 2 y₁₂ = y₁ y₁(0)=1 y₁₂(0)=0 dy +2y+ydt = 2 cost, y(0)=1 Ive the following equations: dt Sydt=2 y(t) = t² + y(t) sin(t-u) du Q3:Answer the following: Llog. s-a e-2s (2 + +a²) L¹ (+1)³ -2t L(et sin 3t) L-1 DENKA e-s $2 + S +8

P1:Solve the following differential equation using laplace transform 2- y₁ = -y 2 y₁₂ = y₁ y₁(0)=1 y₁₂(0)=0 dy +2y+ydt = 2 cost, y(0)=1 Ive the following equations: dt Sydt=2 y(t) = t² + y(t) sin(t-u) du Q3:Answer the following: Llog. s-a e-2s (2 + +a²) L¹ (+1)³ -2t L(et sin 3t) L-1 DENKA e-s $2 + S +8

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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P1:Solve the following differential equation using laplace transform 2- y₁ = -y 2 y₁₂ = y₁ y₁(0)=1 y₁₂(0)=0 dy +2y+ydt = 2 cost, y(0)=1 Ive the following equations: dt Sydt=2 y(t) = t² + y(t) sin(t-u) du Q3:Answer the following: Llog. s-a e-2s (2 + +a²) L¹ (+1)³ -2t L(et sin 3t) L-1 DENKA e-s $2 + S +8
Transcribed Image Text:P1:Solve the following differential equation using laplace transform 2- y₁ = -y 2 y₁₂ = y₁ y₁(0)=1 y₁₂(0)=0 dy +2y+ydt = 2 cost, y(0)=1 Ive the following equations: dt Sydt=2 y(t) = t² + y(t) sin(t-u) du Q3:Answer the following: Llog. s-a e-2s (2 + +a²) L¹ (+1)³ -2t L(et sin 3t) L-1 DENKA e-s $2 + S +8
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