solve for u (7+u)^2 =2u^2+18u+52
( 7 + u )^2 = 2u^2 + 18u + 52
expanding left hand side
49 + 14u + u^2 = 2u^2 + 18u + 52
bringing like terms on one side
u^2 + 4u + 3 = 0
( u + 3) ( u +1 ) = 0
u = - 3 , -1
u =<4, -5 > v=<3, 2 > | 2u – vl = ? Whole number. <7, -1, 5 >.< 2, 3, 1>=? whole number
Solve the BVP for the wave equation (∂^2u)/(∂t^2)(x,t)=(∂^2u)/(∂x^2)(x,t), 0<x<5pi u(0,t)=0, u(5π,t)=0, t>0, u(x,0)=sin(2x), ut(x,0)=4sin(5x), 0<x<5pi. u(x,t)=
7.17 (a) Solve the equation u, 2u, in the domain 0< x<T, t>0 under the initial boundary value conditions u(0,t)= u(r, t) 0, u(x, 0) = f(x) = x(x2 -n2). (b) Use the maximum principle to prove that the solution in (a) is a classical solution. 7.18 Prove that the formulas (7.72)-(7.75) describe solutions of (7.70)-(7.71) that are
7.17 (a) Solve the equation u, 2u, in the domain 0
Solve the wave equation
a2
∂2u
∂x2
=
∂2u
∂t2
, 0 < x < L, t > 0
(see (1) in Section 12.4) subject to the given conditions.
u(0, t) = 0, u(L, t) = 0
u(x, 0) =
4hx
L
,
0
<
x
<
L
2
4h
1 −
x
L
,
L
2
≤
x
<
L
,
∂u
∂t
t = 0
= 0
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Wave equation: (d^2u/dt^2) = 9(d^2u/dx^2) with u(0,t) = u(π,t) = 0 u(x,0) = 3sin4x + 8sin5x, ∂u/dt(x,0) = x, 0 < x < π/2 , π − x, π/2 < x < π.
7 Draw the continuous time signal. x(t)={r(t)-r(t-2)-r(t-4)+r(t-6)}+{u(t+4)-2u(t+2)+2u(t)-u(t-6)} where [u(t) is unit step signal and r(t) is unit ramp signal]. And sketch the following i. yl(t)=x[-1-2) ii. y2(t)=x[3-t] 15 Marks
sen(2u) if we know that cos(u)=8/ square root 64+25x^2
sin(2u) if cos(u)=8/ square root 64+25x^2
Sen (zu) si sabemos que cos (u)- √64+ 25x²
solve ASAP!
2.16 = xy + sin(ay)+cosz x=2u-34 y=5u-v2, 2=43 Equations are given as u=-3 ,W = -2 for dig dw = ? ON Z = 8H7 + x2 - 1224, 22+% The endpoints of the functions is? 2.
solve 15
U. Iru 1-4) = 7. Find f(a + 5)=3(2-52 5 8. Find the domain off. - 6,05 9. Find the inverse of f. CY 10. On which interval(s) is f increasing? 11. On which interval(s) is f decreasing? Use the function g(x) = 2 7x + 9 for the following: x2 - 64 or the 12. Find g(-3) = 12 or 217 13. Find g(a - 2) = 14. Find the domain of &(-4098) UC8,8) U(810) 15. Find...
X Using the substitution u=tan( ) the value of cot x = U 1- u2 2u 1-4² U 1-4² 2u