Find the solution of the wave equation when initial velocity equal to 0 and initial deflection is (2kx/l) when x between zero and (1/2) and deflection equal to (2k(l-x)/I) when x between (1/2) and (I) the P.D.E. is *

Q: differenetiate parametrically to find dy/dx in terms of t:  x=1/t+1 , y=2t^2-4

A: please use according to form i did solved two equation because your question is not write clear that…

Q: use two and three points of Gaussian-Quadrature method to Find 1 = e" e(1+sinx) dx

A:

Q: Consider the curve given by the equation eªy + x² cos y cos y = 3x - y +2. 0). Find y/(0) (i.e. the…

A:

Q: Find the derivative dy dx dx of the function y = sec (1 + 4 + sin ¹(4 + ²)

A:

Q: (cos X-cosy-cotx) dx - sinxsiny dy=0

A:

Q: I woite whose graph is the given sine wave equation of the from y= Acos (X-c)+D an

A: Given:

Q: Find dy/dx given xy2 + x²y5 – x³ = 3 %3D -

A: Given that : xy2 + x2 y5 - x3  = 3. Find dy/dx . We know that d(xn)/dx = nxn-1.   Here i attached…

Q: Calculate the derivative indicated in the figure below

A: rs=s, 2s, s2

Q: Q2/ if y = Jsec3 /sin+Vx+ x² 4. find y'

A:

Q: Show that the following equations are exact. Find solution. (a) dx dy_x– y³ + y² sin x 3xy² + 2y cos…

A: (a) The differential equation is given as dydx = x-y3+y2 sinx3xy2+2y cosx It can be rewritten as…

Q: Integrate the function. S dt o. O. V6-R+ sin'1 6t + C 6t o. + C 612 o. 6t 16-12

A: We can find the integral as below.

Q: Find dy/dx at the point (2,1) if 4y3-x2y2=0

A: Given that: 4y3-x2y2=0

Q: (3/5) What is the directional derivative Duf at the point (3, 1)? Let f (x, y) = x² - y and u =

A:

Q: /Sind d'y/dx³, when x=t²³ ++ and y=t³ +1

A:

Q: 3. Find the *_ 2° L_weak derivative her XE [0,2TC] XE

A:

Q: nd the equation of the normal line at x = given g(0) = 2 cos 0 + sin² G

A: We have to find

Q: dy Part II: Find the derivative ) implicitly. Show all work. dx 11. e" – 4x³ + 5y? = 10

A:

Q: dy Q2) Solve x- 2y = x³ cotan 2x dx

A:

Q: dx 7. = cosx cos² t dt

A: 7). To solve the differential equation: dxdt=cosx cos2t Solution: Re-arranging the given…

Q: Determine the general solution: (dx/dt)A3 - (dx/dt)^2 - 4x = 0 Select the correct response: O y= c1…

A: Topic:- differential equations

Q: Suppose the velocity of a ninja is given by v = ft, 3t², sin(π) at time t. If the position of the…

A:

Q: dy Зу (x + 1)+ dx x+1 2.

A: First i i have find the integrating factor and the general solution.

Q: y" + 3y² - 2 = e².sint (Variation of parameters)

A:

Q: Find the general solution to the linear ODE. Use each method (integrating factors and educated…

A:

Q: 3. 2√3 sin 2x = -√3, [0, 2π)

A:

Q: #4 y=sin(0.5√√x)/x at x = 1

A: dfdx=fx-fx-hhd2fdx2=fx-2fx-h+fx-2hh2 y=fx=sin0.5xxx=1h=0.25∴dfdx=fx-fx-hh          =f1-f1-0.250.25…

Q: Find df/dz.

A:

Q: The total differential of the function: z=x*e3y . .A dz = 3x "e3Y dx +4x³e3Ydy. .B dz= 3x"dx +e3ydy.…

A:

Q: dy/dx=(x+siny)/(2y-xcosy) is an exact equation

A: Given that dydx=x+sinyy-xcosy we need to check that it an exact equation

Q: Find dw/dr and dw/dΘ for w=2z/y-3x if x=3Θ+2r, y=3r^2 + Θ, and z =4r-Θ, where Θ = 2 and r = 5.

A: w=2zy-3xx=3θ+2r,y=3r2+θ, z =4r-θTo find ∂w∂r and ∂w∂θ for θ=2 and r=5