What is the valuea +b+e for Y()= + problem given by y"+ 7y'+ 6y -e', y(0) = 0, y (0) = 02 which is Laplace transform of the solution of initial value %3D

Q: How do I get 2y*dx/dt + (-4xy + y' * x^2) = 0 and y' = (1/ x^2)(2xy + y - 1)?

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Q: Use the finite cosine transform of the fourth derivativ 11 T n²² Fa{f(x)} -[f'(0) - (- p³ p² - f"…

A: Here, in the question, use the finite cosine transormation of the fourth derivative f4(x). One of…

Q: Solve using Laplace Transform y" - 2y + 2y = et ; y(0) = 1, y'(0) = 1 O y = (1/5)(e^-t + 4e^tcost -…

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Q: FIND M'(3) = Page 2 of 4 -1 6 2 g(x) • F(x) LET M (x) = F (g(x)) AND V(x) = 9 (f(x)) 6 FIND V'(3) =

A: Step 1: Step 2: Step 3: Step 4:

Q: y'''+y''=3 (Non Homogenous DE)

A: y'''+y''=3 (Non Homogenous DE)

Q: find the pauticuler soluhion fr + loy = x'_e*sin(8x)

A: Solve particular integral in above differential equations.

Q: (x-2)²(x³-4) y = Vx2+1 dy If then equals to : dx O y [2/(x-2)+(3x^2)/(x^3-4)-2x/(3x^2+3)] O…

A: The formulas which are used to solve the above problem are stated with the solution.

Q: -x-1 a) y' = +2yi-1 v(0)=1

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Q: Which of the following is the orthogonal trajectories of the family of curves y^(5) = kx^(4)? There…

A: To find orthogonal trajectories in the curve substitute -dx/dy for dy/dx in the differential…

Q: Find y' in y=sin¹ (5x5+2x) + Tan-¹ (x²) 1 1 1+x² -(5x5+2x)² A. y' B. y' C. y' D. y' = = 25x¹+2…

A: Given:y=sin-1(5x5+2x)+tan-1(x2)       y'=dydx=dsin-1(5x5+2x)+tan-1(x2)dx…

Q: ( 9) (2D - D') ( 3D + 2D' + 4)(D² - D')z = 0

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Y"+y=secxtanx By using differential operators Methode

A: Given: The given equation is y''+y=secx tanx

Q: Sole by Laplace Transform: y''-4y=4t-8e^(-3t);  y(0)=0, y'(0)=1

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Q: y The function f(x, y)= (2x* + y* )exp + xy' is homogenous in x and y of degree 2x

A: Follow the procedure given below.

Q: Let h(x) where f(x) = In(3x² + 2x + 2) and g(x) = -2x. What is h'(x)?

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Q: 3) = + sin (4) r = y(In y- In r+1)

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Q: The function S(x.y)= (2x* + y^ )exp[ y + xy' is homogenous in x and y of degree 2x

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Q: y"' + 3y" + 3y' = y y(0) = 7, y' (0) = -7, y" (0) = 11 %3D

A: Given: y'''+3y''+3y'+y=0 To find: y

Q: find y(t) 2.) y" + 7y' +12y = 16e^2t + t ; y(0)=6, y'(0) = 4

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Q: By using the Laplace transform to solve the system x' = 3x - 3y + 2 We obtain: * None of them…

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Q: Σ(+r=1)a-my y=0 = (1 - (1 − π)^^) — -

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Q: Find y' if y = (26 +1)18z+6 y' = (18z + 6)(z6 +1)18z+5(6z5) y' = (z6 + 1)18z+6 18(6)z5 26+1 y/ = (26…

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Q: 5) Find y' if x + cosy = Vx + sinx + xy – 1

A: Given

Q: +ay'- - 3X = 0

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Q: (iї) Зx' — 6х %3Dsin2t x(0) = 1 (iv) у" + 6у' + 13у %3D 0 У (0) %3 3, у'(0) 3 7

A: We have to find first complementary function and   particular integral and then add them, that will…

Q: f'5)%=2 U13)=5, U(3)=7, find (fou)'(3)

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Q: y"'+4y"+9y'+10y=e^-d(sind)

A: Explanation of the solution is given below....

Q: Use this technique to find the inverse Laplace transforms of the functions given in Exercises 7–10.…

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Q: e 8(t – 3) dt = e^15 cos(31)6(t – 5) dt =

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Q: Draw a direction field for the equation y'=y+x-y^2 for -5 < x, y

A: The direction field is obtained as follows:

Q: Find (1,0) where y2 + x2 + eV = 0

A: Given y2+x2+ey=0 ⇒y2+ey=-x2⇒ddx(y2+ey)=-ddx(x2)⇒2ydydx+eydydx=-2x⇒dydx(2y+ey)=-2x⇒dydx=-2x2y+ey

Q: Q5/ Solve the second order difference equation by Z transform method * Yn+2 = Yn+1 + yn

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.