Which of the following differential equation(s) is/are NOT applicable for the method of Laplace I: 4" +y =t1/2+ e cost II :"-2y + y = U2(t) + e? – 1 III : y" +/ + 3y = t A) Only III Only I II and III I and III Only II

Q: By using the differential operator D and it's inverse, solve this equation: y"+y=sin(x)

A: Follow the procedure given below.

Q: Which of the following differential equations can be solved by utilizing the method of undetermined…

A: The method of undetermined coefficients is used only when the function on the right hand side is a…

Q: 33. The system of differential equations for the currents i(t) and i2(t) in the electrical network…

A: Given: R1= 8 R2=3 L1=1 L2=1

Q: The one dimensional wave equation describes how waves of speed c propogate along a taught string. It…

A:

Q: - 4) (dªb' db\10 + 7 dp4 dp, + b7 – b5 = p d²y + 2b dx2 3 – 5) (dy +y = 0 \dx) d²y dy + dx² ' dx 6)…

A:

Q: Czsin(2x) + C4cos(2x) y= C¡sin(x)cos(x)+ C2sinh2x+ is the general solution of which of the following…

A: Here, we have the general solution : y=C1sin(x)cos(x) +C2 sinh (2x) +C3 sin(2x)+C4 cos(2x)ex…

Q: em 3. Given differential equation X' = AX, and vector solution x1 = 1 e³t and x2 = 3 e²t 1 2 Find…

A: The differential equation  has vector solution  and .The objective is to find a solution satisfying…

Q: Which of the following equations are first order ordinary differential equations? 1. 7x + yx 0 2.…

A:

Q: 5) Plot direction fields for the following system of differential equations in the xy-pla x' =-3x y'…

A:

Q: What is the solution of the DE e dx – x² dy = 0? A. y = (c - B. y= In (c - C. y = In (c - x) D. y =…

A: As per our guidelines we are supposed to answer one question, kindly repost the remaining question…

Q: Find the general solution to the homogeneous differential equation tion can be written in the form…

A:

Q: 9. Ut = 4uxx, (xo, to) = (5,4)

A:

Q: 10. The diameter of circle is measured and found to be 6ft with a maximum error of 0.1 in. Find the…

A: Given: The diameter of a circle is measured and found to be 6 feet with a maximum error of 0.1 in.…

Q: d²y dy x² +1 -3x xe(0,+0) - 6+9y = e* dx² dx

A:

Q: 3. x - y=t + 3 4. x = VT-T; y =t- 3t 5. x = vE + 2; y = t² - 3

A:

Q: Feren Ea (x°+y) dy xy

A: Given differential equation is not homogeneous. See the attachment

Q: Find a differential equation that corresponds to the given direction field. Consider differential…

A:

Q: 9. The base of a right triangle is fixed at 3ft.the hypotenuse is Sft. long and subject to change.…

A: The base of the right triangle b= 3ft Hypotenuse R = 5 ft (variable)

Q: x€ (0,+) defined in the range dx +6 -+9y= of the differential equation; dx a) Write the type and…

A: Step:-1 Given that  d2ydx2+6dydx+9y=e-3xx2+1x2 Part (a):- Order:- 2, Rank = 1 Type:- Non Homogeneous…

Q: (2xy - y² + y)dx + (3x² - 4xy + 3x)dy = 0

A: The given differential equation is

Q: ġ p p(1 — q²), -q(1 - p²).

A:

Q: Match the differential equation with its direction field. y' - 8(x + y) - 1 -0.3- -0.2 0.1 0.1 - 0.2…

A: Matching the differential equation with its direction field  y'=8(x+y)-1 x 0 0 0 0 0.1 0.2 0 1/8…

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.