find the solution yll +2y' +2y=e-t, y(0)=0, y' (0) =0 -2t e-t +cost a e-t-e-t cost b0 e-t-e-2t +cost co e-'sint - e-2t cost dO

Q: (x+1)y"-(2-x)y'+y=D0

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Q: y = e"(1 – y²), y(0) =

A: We will find out the required solution for given differential equation.

Q: I want to solve all the questions by undetermined coefficients method Solve y''-y' - 2 y = 6 x e2 ×…

A: Solution is given below:

Q: dy 1 csc(x) -csc(x) y = y* dx

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Q: 7.3 = x + 2y x-2y y'

A: This question can be solved using the concept of differentiation.

Q: Find y' and y". y' y" 11 = y = ( 2 + √x) ³ 3

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Q: y = 3t 1+t³ X= 3t 31² 1+t²³

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Q: Compute the surface integral over the given oriented surface: F = y³i+8j – æk, portion of the plane…

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Q: Find y' and y". y': y" = y = (²+ √x) ³

A: SOLUTION-

Q: dy/dx= (6x^3-1)/(2xy-3x), y(1)= -1, x>0 Please show steps clearly, this is a seperable equation…

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Q: Solve dy/dx = y -x with y(0) =1 using the linear multi-step method Yi+1 +(3/2)yı -3yı-1 +(1/2)yi-2 =…

A: First solve the given differential equation: Given : y'=y-xy'-y=-x The given differential equation…

Q: Express the iterated integral as an equivalent integral with the order of integration reversed. [[…

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Q: newton's method

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Q: Find the general solution of the equation. x³ dx + y dy = 0

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Q: Solve for y(x):

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Q: Find the ditterential of the function y = (x + 1(5x - 3). Sx-x-5 dy = (Sx - 3) *?+ 6x-5 (5x- 3)? dy…

A: Use the quotient rule of differentiation ddxuv=vdudx-udvdxv2. Power rule of differentiation…

Q: (2x+3)y'= y+y²(2x+3)^½ Linesr equation or bernoulli equation

A: The given differential equation is 2x+3dydx =y+y22x+312. The standard form of Bernoulli's…

Q: (1 + x²) e ³* dx

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Q: y = 3Arcsin (2x³) -- Arccos(2x³)

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Q: Solve y''-y'- 2 y = 6 x e2x - 2 e X, y (0) = 1, y' (0) = 1 A) %3D y''- 2 y'. +y = x (e* - e*), y (0)…

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Q: Solve: y''' – 3y'' – 15y' + 125y = 0 - y(0) = 4, y'(0) = 13, у'"(0) — – 94 - y(t)

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Q: NON EXACT DE Solve: x(y^3 - x)dy-y(y^3 + x)dx=0

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Q: The equation of the tangent line of f(x) 3 e* at x = 0 is %3D y

A: We have to find the equation of the tangent line of the given function at the given point   The…

Q: y = + x²cosx y + x

A:

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.