Find the solution of the given initial value problem in explicit form. 1 y' = (1 – 7x)y² , y(0) : - 9. y (x) :

Q: Let y = Arcsec (cos² 3x). If y '= == A (B C) D) - 6 tan3x - 3 sin3x - 6 sin3x cos3x N 2 cos3x D and…

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

Q: y? + 3xy Solve the IVP y' y(1) = 5 using appropriate substitution. x2

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Q: The general solution of y' x2 can be written in the form

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Q: How do I find the particular solution yp in the equation above?

A: For particular equation we will crate function for particular integral. Then we solve it by using…

Q: 3. Solve each equation. y(0) = 1, y' (0) = -1 (a) y" + 4y = 0, (b) y" + 5y = 0

A: We have to solve given problem:

Q: Eliminate the arbitrary constant. y = C1e-x + C2ex + C3e2x , where y(0) =0, y’(0) = 1, y”(0) = 2

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Q: Find the general solution y''-y'-2y=0

A: Given the differential equation y''-y'-2y=0. We need to find the general solution of the above…

Q: (2.) Find the general solution to y' + 2ty = 5t.

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Q: Find the solution to y' = x?(y + 1) given y(0) = 3. Show all work and put your final answer in f(x)…

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Q: 1. Solve the equation y2 + 6x = y(3y – 2x)y'

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Q: Solve by undetermined coefficients. y" – 3y' = 6e – 2e", y(0) = 0, y (0) = 0.

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Q: x.y’ + y + 2y’ – xsinx = 2sinx solve the equation

A: Given that xy'+y+2y'-xsinx=2sinx The equation can be rewritten as, xdydx+y+2dydx-xsinx=2sinx So,…

Q: Solve for Y(s) and Y(t)

A: Y(s)=s4−10s3+61s2−360s+9006s3−55s2+217s−1986​ (PLEASE SEE DETAILED INFORMATION ON THE EXPLANATION…

Q: 1. Find a general solution of the first order equation: y'= 3x²y².

A: The given first order differential equation is solved by method of separation of variable.

Q: Solve (2x – 1)3y" + (2x – 1)y' - 2y = 8x? – 2x + 3 %3D |

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Q: [  y'''- y' = ex - 2x  ] Please find a particular solution yp for the above.

A: Particular Solution: Consider the equation Let be the differential operator Then equation (1) can…

Q: Verify that y = x² – 1 is a solution of (y')* + y² = -1. %3D

A: Given;            y=x2-1 is a solution of y'4+y2=-1 We compute the first derivative.…

Q: Find the value of y (0.4) if y' + 0.2y = 0, y(0) = 5. Solve analytically.

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Q: Solve the IVP by substitution. (3x2 - 2y2)y' = 2xy;  y(0) = -1

A: Substitute  x = vy and than solve using method of separation of variables.

Q: ii) Solve (x D²– 3xD+4) y = x² given that y(1) =1 and %3D - y'(1)= 0.

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Q: Find the solution of y' = (1 – 4x) y², y (0) = –1 in explicit form

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Q: SOLVE STEP BY STEP IN DIGITAL FORMAT 3.7 Resolve the 2y"+y' - 3y = 0, y(0) = a, y'(0) = b.

A: Given equation with an initial condition is given as :we have to calculate the solution of the given…

Q: (b) Solve: (x*D² - 2XYDD' - 3y'D? +xD-3yD')z = x'ycos(Inx').

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Q: Use Euler method to solve ODE; y' = 1 + x2 ; y(1)=-2 ; h=0.10 ; x(0)=2 to determine y (2.10),…

A: solution:           given that y1 = 1+n2 with y(1) = -2 and h = 0.10 , we haveto determine…