y”-y’+361y=19sin(19t)

Q: Obtain the solution using Integrating Factors Found by Inspection y(x3y3 + 2x2 − y)dx + x3 (xy3 −…

A:

Q: When a vertical beam of light passes through a transparent medium, the reason that its intensity I…

A: We have to find What is the beam intensity at 15 feet below the surface.

Q: Evaluate. The differential is exact. (1, 1, 1) (-10x - 8x7y7) dx - 7xS6 dy + 54z5 dz (0, 0, 0) 3 4

A:

Q: Find the differential dy. y = 6x7 + 3x2

A: Given:y=6x7+3x2

Q: and dr= %3D Solve for the differential of y When y=sinxx x

A:

Q: y =x3 dy Itx² -

A: Note  You type wrong Question here in place of dx/dy must be dy/dx  I solve it using dy/dx otherwise…

Q: Find the total differential. z = 5x3y9 dz =

A:

Q: dx ylnx- dy y + 1₂ X 2

A: given :ylnxdxdy=y+1x2

Q: 5z² – VE 1+ tan(x) Find an dy when y = dr Do NOT simplify. expression for

A:

Q: dx S COsxtanx

A: Here we will solve the given integration,

Q: Only I method. Except Exact DE (x+2y-1)dx+(2x+4y-3)dy oo

A: First we campare the given differential equation Mdx+Ndy= 0 and then solve it.

Q: Find the general solution for -x) dx - (-y) dy dy = 0

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Q: 5. sinx+ cosh2y = 0. dy 6. /2xy -= 0. dy y

A:

Q: Time left 2:50:59 Find the approximate root of y 3x-12x-15 when x=0.02 using differentials.

A: We have to find root of given equation using differential.

Q: Using figualve mme thod X + 2 dt 2. dy X - 29

A: To find the eigenvalues λ of the matrix A, solve the characteristic equation A-λI=0 for λ. To obtain…

Q: (solve exact de) (2ysinxcosx - y + 2y²e*v¨ )dx = (x - sin'x - 4xye )dy

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Q: Approximate - -1x+3 -dx using trapezoidal rule with n=4 and Simpson's rule with n=4.

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Q: dy 3 sinh y - 5 cosh y

A: Given, I=∫dy3sinh y-5cosh y

Q: Jz{sinh³ 4z*)'^ ² - dz 1/4 cosh³ 4z'

A:

Q: 4. FIND d²y BY IMPLICIT DIFFERENTIATION: x² + y² = 81 %3D dx2

A: Given: x2+y2=81

Q: If y = 4x³ + 2x² + 11, find the approximate value of y when x = 2.01, using differentials.

A:

Q: 2x dx by taking n = 4 1+ x Use trapezoidal Rule to evaluate

A: trapezoidal rule

Q: The general antiderivative determined by - x² - 3x +2 is dx

A:

Q: sech? dx 1- sech Vĩ tanh Vi dt Vi 2-

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Q: Find the particular solution for the given separable equation when y(0) = 3. 1 dy = ysin(2x) 1? dx

A: To find the particular solution for the given separable equation when y(0)=3

Q: y = sinx from x = = to x = n and the x axis 2

A: The required solution is:

Q: (12z – 12z2 + 71z – 77 Integrate: 4x2 + 25 - la( |42° + 25|) – arctan X + C

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Q: dy/dx of y=sec^-1 (5x)

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Q: 7) y = exz 8) y = 3 x ²

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Q: (a) --y = 2x?y, y(1) = 1 dy dx

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Q: (continue solution of de) (2ysinxcosx - y + 2y²e*Y" )dx = (x - sin²x - 4xye*y" )dy

A: Using method of exact differential equation.

Q: y(1-x^2) dy/dx=x(1+y^2) solution of first order Deferential Equation

A: We have to find solution of y(1-x2)dydx=x(1+y2)

Q: Find the differential dy for y = xV1-x. Do not simplify your answer.

A:

Q: Find dy/dx by implicit differentiation. 19) x3 + y3 = 5 20) 2xy-y2=1

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Q: 2x dx by taking n = 4. 1+x Use trapezoidal Rule to evaluate

A: on solving this we get

Q: Find the differential of the function. y = 1 divided by x^7 - 8x dy =

A: we have to find dy

Q: 2sin(y)cos(y) sint(y)+costy) dy

A:

Q: Q2. Solve yfrcos (4) + ysin (2)] dx – x [ysin (2) – xcos (2)] dy = 0

A: Here we have to solve the above differential equation  by first checking whether the function is…

Q: Find2 of the parameters: x = sin 2t and y = - cost at t =

A: In this question, we need to find dydx. It is given that x = sin 2t and y = -cos t

Q: find the differential dy if y= sqrt(2x^5-3x

A: Given query is to find the differential of the expression.

Q: dy Exc:" of y = tanh (x5 – 5x)² --

A: Solution:Given         y=tanh4(x5-5x)2  To find dydxFormula:ddx(xn)=nxn-1ddx(tanh x)=sech2x

Q: Use the Euler method with dx = 0.5 to estimate y(5) if y′ = y2/sqrt(x) and y(1) =-1. What is the…

A: Consider the formula used in Euler’s method.Also summarize the given data in the question.

Q: Find the differential dy when x = 3 and dx = 0.2 %3D

A: When you get function of function form to differentiate, we use the chain rule. y = f(g(x)) dy/dx =…

Q: Solve using variaton of parameters or recuction of order (D²-2D+1)y = e" (e*+)²

A:

Q: tion of the separable equation dy 23 3 +2)³ + 2)?

A:

Q: Solve = 1 +y, y(0) = 0 by Picard's method. %3D dx

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Q: sin(3z+z²) Find y' for y = (6 – 2*)3

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Q: Sin'z dz 4.

A: Note :- These are multiple questions and you not mention here whose solution you want. So i am…

Q: y

A:

Q: Use Variation of Parameters to solve the DE y" – 4y %3D

A: Given differential equation y''−4y=e2xx Write the auxiliary equation m2−4=0 ⇒m2=4⇒m=±2 Hence,…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.