Equation : d²x 102² dz + zlt) = + = lo dz dt when zl0) = 0.001 and x'(0) = 0 Runge -kutta' Method for Al = 0.001 tE[o.100] (i using solve the eguation for tc[o.i00]

Q: Determine the equation of the tangent line for y = sech(In x) + tan-(x²) tangent at x = e*. A. Yr =…

A: The equation of the  tangent line for the function f(x) at the point x=a is, y-fa=f'ax-a. The…

Q: 1) y = logs Vr² – 1

A: Since you have asked multiple questions in single request.so we will answering only first question.

Q: with subsidiary cquatvon: * Solne the differential equatun with subsidiary cquatvon: 5. y (s) =…

A: 8)

Q: Use Euler’s explicit method to solve the ODE dy/dx= -1.4 + 8e^ -0.3x from x= 0 to x= 2.4 with the…

A:

Q: Date: an ordinary By using suitable method differential equation by eliminating from the equation…

A:

Q: A) find the derivatives for the following: 1) y = In(In(sin¯'(e?r))) – 5-Inx 2) Y=sech-1(log, 93*) +…

A: Chain rule for differentiation: Let y=fghx then dydx=ddxfghx=dfghxdghx×dghxdhx×dhxdx Equation of…

Q: Jx"(x* +2)"³ dx

A: We will find out the required value.

Q: 3) Find the total derivative for each the following cases: a) Find dy/dx: y = 4x2 + 2x², where ==…

A:

Q: 44. Find the derivative of loga u with respect to x. a. log u du/dx b. u du/ln a c. loga e/u d. log…

A: Given data÷

Q: Obtain the derivative dh when the radius is 5 m. First, substitute 5 for rin the volume of cylinder.…

A:

Q: Solve the IVP: y'' - gy y(0) = 0, y'(0) = 0 = ST 6 0 3

A: Sol

Q: P= pvo'smax A sin (kx-mt) = pvw²s

A: Given function  P=ρvω2smax2Asin2kx-ωt

Q: Find a root of an equation f(x) = cos(x) - − using Newton Raphson method

A: Let us start solving the problem step by step  Given  Cos(x)-(x/6)=0 Let f(x)= cos(x)-(x/6) We will…

Q: Use Euler's method to solve the following ODES wwwwwwww dy dx = -2y + 4e¯*, with h = 0.18 from x = 0…

A:

Q: (x – 2)² – In x = 0, [1,2]

A:

Q: 2. %3D

A:

Q: 3. y = In(sec(In 0)) Find the derivation

A:

Q: SOLVE STEP BY STEP IN DIGITAL FORMAT Show that 1- tanh²(z) = sech² (z).

A: Identities of hyperbolic trigonometric function  cosh2z-sinh2z=1tanhz=sinhzcoshz1coshz=sechz

Q: 1. Evaluate 3 √² 13 0 |3x² - 12 dr.

A:

Q: Once you hit the p.i = ... What is the Yp solution you are following to apply the 1/d^2 +4…

A:

Q: Calculate y' given y below. (a) xey = y − 1. (b) y = (cos x)^x (c) y =(√sin^3(√2x))

A: a). Differentiate separately both sides of the equation (treat y as a function of…

Q: 5- (2xe" + e')dx + (x² + 1)e³dy = 0

A: solving given DE by separation of variables.

Q: Find the derivative of: - R(t) = (sin² (3t+1), ln(t² − 1), ²) +1

A:

Q: 1. Use the fact that coshx = (e* + e) and sinhx = 1 NIH (ex - e-*) to solve for 1 coshx+ sinhx dx

A: ∫exdx=ex+c

Q: find dy/dx by implicit differentiation for: f(x)=In (2x+1)^3/squareroof of x^2+1

A: