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Give the Laplace transform for f (x)=4 x sin(3x) –...
Please Show every step thank you. Question 4 Your answer is INCORRECT. Give the Laplace transform...
Please Show every step thank you.
Question 4 Your answer is INCORRECT. Give the Laplace transform of f(x) = -2x2 – 3 + 3e3* cos(2x) - 3xe2x » ©F6)=-* 1) OF(S) ==* * = 5-65+ 13 6- 00F(0) - 4,2-68–13 6-232 b) +- 3s 32-65 +13 ( e) - . 3(3-2) s2 - 65 + 13 - S (S-2)2 1) None of the above. Question 5 Your answer is CORRECT. Give the inverse Laplace transform of F(s) = S-4 s(8...
abité -br and 2 Find the Laplace transform of sinh bt. Recall that cosh bt ebt...
abité -br and 2 Find the Laplace transform of sinh bt. Recall that cosh bt ebt -bi sinh bt = 2 -e ${sinh bt} b b2 - 52 S ${sinh bt} = $2 + b2 S ${sinh bt} = b2 - 52 b 52 - 62 ${sinh bt} S ${sinh bt} 32 - 62
4. Using Laplace transform, solve the differential equation x" + 4x' + 3x = δ(t) +...
4. Using Laplace transform, solve the differential equation x" + 4x' + 3x = δ(t) + e-2t, χ(0) = 0, x'(0) = 0
Find the Laplace transform of f (x) = 2 e−3x + cos 2x + 5x.
Find the Laplace transform of f (x) = 2 e−3x + cos 2x + 5x.
(write After use Laplace Transform to transform the following initial value problem x" + 3x' +...
(write After use Laplace Transform to transform the following initial value problem x" + 3x' + 2x=2e-t, x(O) = x'(0)=0, you should get X(s)= S-2 fraction as (S-2)/(S-4)(s+6) for (s-4)(3+6) -). Then, find x(t) = L-2(x(s)= 5 (write 5/6 by 6 -3t e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
1. If f(x) = 2e22 sin 3x – 2.2e3 + 4r, then C[f(x)) = 4 +...
1. If f(x) = 2e22 sin 3x – 2.2e3 + 4r, then C[f(x)) = 4 + .S + 4 $2 3 2 (a) 22 4s + 13 (s + 3)2 3 2 (b) (s - 2)2 + 9 (s - 3) 6 2 (c) $2 - 4s + 13 (s - 3)2 3 2 (d) (8 - 2)2 + 13 S +3 (e) None of the above. 4 + 4 + $ 2. If f(c) = x2 + 2.1 –...
Differential equations 7.2 Inverse transforms and transforms of derivatives Use Laplace Transforms to solve the initial...
Differential equations 7.2 Inverse transforms and transforms of
derivatives
Use Laplace Transforms to solve the initial value problem y" – 2y'+5y=-25x , y(0)=2, and y'(0)=3. TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 + 2)2...
Differential equations 7.2 Inverse transforms and transforms of derivatives Use Laplace Transforms to solve the initial...
Differential equations 7.2 Inverse transforms and transforms of
derivatives
Use Laplace Transforms to solve the initial value problem y" + 4y = 25xe", y(0)=-2, and y'(0)=1. TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 +...
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x...
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Use Laplace transform techniques to solve the following; a = x + y - 9t, x(0)...
Use Laplace transform techniques to solve the following; a = x + y - 9t, x(0) = 1 a ly = 4x + y, y(0) = 4 b) sinh(t) = S. y(z) cos(t – z) dz
Please Show every step thank you.
Question 4 Your answer is INCORRECT. Give the Laplace transform of f(x) = -2x2 – 3 + 3e3* cos(2x) - 3xe2x » ©F6)=-* 1) OF(S) ==* * = 5-65+ 13 6- 00F(0) - 4,2-68–13 6-232 b) +- 3s 32-65 +13 ( e) - . 3(3-2) s2 - 65 + 13 - S (S-2)2 1) None of the above. Question 5 Your answer is CORRECT. Give the inverse Laplace transform of F(s) = S-4 s(8...
abité -br and 2 Find the Laplace transform of sinh bt. Recall that cosh bt ebt -bi sinh bt = 2 -e ${sinh bt} b b2 - 52 S ${sinh bt} = $2 + b2 S ${sinh bt} = b2 - 52 b 52 - 62 ${sinh bt} S ${sinh bt} 32 - 62
4. Using Laplace transform, solve the differential equation x" + 4x' + 3x = δ(t) + e-2t, χ(0) = 0, x'(0) = 0
(write After use Laplace Transform to transform the following initial value problem x" + 3x' + 2x=2e-t, x(O) = x'(0)=0, you should get X(s)= S-2 fraction as (S-2)/(S-4)(s+6) for (s-4)(3+6) -). Then, find x(t) = L-2(x(s)= 5 (write 5/6 by 6 -3t e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
1. If f(x) = 2e22 sin 3x – 2.2e3 + 4r, then C[f(x)) = 4 + .S + 4 $2 3 2 (a) 22 4s + 13 (s + 3)2 3 2 (b) (s - 2)2 + 9 (s - 3) 6 2 (c) $2 - 4s + 13 (s - 3)2 3 2 (d) (8 - 2)2 + 13 S +3 (e) None of the above. 4 + 4 + $ 2. If f(c) = x2 + 2.1 –...
Differential equations 7.2 Inverse transforms and transforms of
derivatives
Use Laplace Transforms to solve the initial value problem y" – 2y'+5y=-25x , y(0)=2, and y'(0)=3. TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 + 2)2...
Differential equations 7.2 Inverse transforms and transforms of
derivatives
Use Laplace Transforms to solve the initial value problem y" + 4y = 25xe", y(0)=-2, and y'(0)=1. TABLE OF LAPLACE TRANSFORMS f(0) L{f(0) = F(s) f(t) L {f(0)} = F(s) 1. 1 20. eat sinh kt k (s – a) - R2 S 1 s- a 2. t 21. ear cosh kt 52 (s - a)- K 3. " n! +10 n a positive integer 22. tsin kt 2ks (52 +...
PROBLEMS Solve for y. 3.1. - x + 4x + sin 6x 3.4. y + 3x = 0 3.5. (x-1)? ydx + x? (y - 1)dy = 0 Just find a solution. Solving for y is tough. Test for exactness and solve if exact. 3.6. (y - x) dx + (x? - y) dy - 0 3.7. (2x + 3y) dx + (3x + y - 1) dy - 0 3.8. (2xy Y + 2xy + y) dx + (x*y*el...
Use Laplace transform techniques to solve the following; a = x + y - 9t, x(0) = 1 a ly = 4x + y, y(0) = 4 b) sinh(t) = S. y(z) cos(t – z) dz
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