Solve the following homogeneous secon

Q: 3.) / sect 0 do

A: To evaluate ∫sec4θdθ

Q: Find the four values of t between -2π and 2π at whichsin t = cos t

A: Our Aim is to find the four values of t between -2π and 2π at which sin (t)= cos (t)

Q: Obtain the following Laplace ti 1) L{cos3t + 5e-t} 2) L{e¬3t (2t² – 5t + 1)} 3) L{sin7t – cosh3t} -

A:

Q: Set up (but do not evaluate) an iterated triple integral for the volume of the solid enclosed…

A:

Q: 1f: A-3) -J + K and B =1-3J +K calculate the vectes (C) so that Ā -B + Ĉ =.

A: Given A→ = 3i-j+kB→ = i-3j+k

Q: By using Laplace trans formations Solve : - -2X 2X +3 e Cos3X y(oJ=0, ýw=| %3D

A:

Q: if x1,X2, ..., Xn~ Gamma( 3,6) find the a) Find the MME for 0. b) Find the MIE for 0´ c) IS MME…

A:

Q: Solve: 2cos?0 + VЗсos® 3D 0, for 0< 0 < 2л. I 5n 7n 3n A. `2' 6' 6 5п Зп 11л С. 6 6'6'2 3 B., T, D I…

A: If a×b=0, then using the zero-factor property, it can be written that a=0 or b=0.

Q: 1 „j(ax+jby) -j(ax+jby) +e Find the cauchy-riemann equations of

A: The general form of a complex number is given by z=x+jy, where x and y are two real numbers and…

Q: In the integration of (csc 3t)(cot 3t) dt, what is t O cot 3t none of the above O csc 3t O (csc…

A: See the details solution in below

Q: y' = xy³ (1 + x²)¯½¡y(0) = 1

A:

Q: 1). Let, 2=x+iy *,y€R. In this case, (a). Prove the equations 2-2+2 and a = i.2 %3D %3D

A:

Q: 2.2 cubic dm of basis is to drawn into a Cylinder wire 0.50 cm in Diameter. Find the length of the…

A:

Q: Calculate the resultant (i) V₁ - V₂ - V3 and (ii) V₂ + V₁ − V3 when V₁ = 80 N at 55° V₂ = 90 N at…

A: Given details: v1 = 80 N at 55ov2 = 90 N at 120ov3 = 110 N at 110o (i) v1 - v2 - v3 = 80 sin (55) i^…

Q: Ex. 2. Prove thät if two equal and perfectly elastic balls moving in the same direction collide…

A:

Q: dr a) de rcose + rsene subject to r(0) = 1 (solve by separation of variables)

A:

Q: eat cos(bt) C.

A:

Q: laplace transporm to de y" ~ y' - 24 yo = 1 "D sin (3+) y' (o) = -1

A:

Q: Solve the following homogeneous ODE 3. y' = 2ху y² –x²

A: Given: dydx=2xyy2-x2...1 Let, y=vxSo,dydx=v+xdvdx

Q: The method of solution of the Cauchy-Euler equation is to try solution of the form y=e" صواب İhi

A:

Q: equation 2y-xedy- 942x Find the particular SoluHon of the differen tical grven mat y=3,22

A:

Q: The method of solution of the Cauchy-Euler equation is to try solution of the form y=e" ulgn O ihi O

A: Cauchy–Euler equation is a linear homogeneous ordinary differential equation with variable…

Q: Look for the annihilator of the given expressions. i) e2x sin3x ii) x³ e4x iii) 5x* - 2.x + 8x - 7…

A:

Q: The ODE z dr - 3y = 0 is a Cauchy-Euler equation and has one solution of the form y =r" for some…

A: The given statement is true.