Use Laplace transforms to solve the following initial value problem. - x' +2y' + x = 0, x' − y' + y = 0, x(0) = 0, y(0) = 121 Click the icon to view the table of Laplace transforms. The particular solution is x(t) = and y(t) =

Q: Find y'' in y = x(2x + 1)4

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Q: x' = 2 -5 1-2, X

A: We will find eigen values and eigen vectors of coefficients matrix from given system and then find…

Q: Find the derivative of y= (2x³+x+1) 4(x²+3)5 (x4+3) 3 O A dy (4) (2x³+x+1) ³ (5) (x²+3) 4 dx 2(x²+3)…

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Q: find y as a function of x if: y'''-13y''+42y'=60e^x, y(0)=11, y'(0)=24, y''(0)=21

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Q: y = 5** +(3–x²)

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Q: xy' = 3y + 8x, y(2) = 8. y= ((8x^8/8)+3)x^3

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Q: y'-(2/x)y=(y^3)/(x^2) find the solution that satisfies y(1)=1

A: The given differential equation is

Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

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Q: _____18) Find y' if y= 6+x √4-x²

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Q: y""+12y" +36y=0; y (0) = 0; y'(0) = 1;y" (0) = -7 ✓y""+y" - 2y=0 y" - 4y'-5y=0; y ( 1) = 0; y' (1)=2…

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Q: can you explain if this is true or false if y=x2+y2, then y'= 2x+2y

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Q: y(t)=(2t-1)(5t-5)^-1, find y'(t)

A: Using Quotient Rule of Derivatives

Q: y”+y’=0; y(0)=-4 , y’(0)=6

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Q: Find y'. y = [In(x5 + 3)]2 y' =

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Q: Find y as a function of a if = y"-7y" +12y = 6e², y(0) = 24, y' (0) = 16, y" (0) = 27. y(x)=

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