Find the solution of the initial value problem . y' = 6t°y°, y(1) = 1 1 y(t) 2 – t3 none of the given answers 1 y(t) = %3D 3 – 2t3

Q: 1. I = 4Vx+ 9 dx, x = 4, I = 3 2. I = :/ x = 1, I = 4 (5x*+8x³+9x² +2)dx,

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Q: Solve the seperable equation for. (dy/dx)=(1+x)/xy12;x>0 Use the following initial condition:…

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Q: Solve the initial value problem: a" - 2x' = 12e2 – 8e-2", x(0) = -2, r'(0) = 12 %3D

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Q: Find the general solution of the given equation.

A: Here we have to find out general solution.

Q: Q.4. Solve: y" – y' + y = Vxe*

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Q: 3. Show that the equation (6ry – y*)dx + (4y + 3x² – 3xy²)dy = 0 is exact. Hence solve the equation…

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Q: Use the method of variation of parameters to determine a particular solution to the given equation.…

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Q: Given dy dy +2- dx + 5y = e and y(0) = 0 and = 0 find the value of y(0.1) and y'(0.1) using the %3D…

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will…

Q: eУ + 2ху'- у %3D0

A: Given equation is, ey'+2xy'-y=0y=ey'+2xy'...1 Multiplying by y in equation (1), we get…

Q: (D²-3D-2)y = 0 Find y when x = In 2 when x=0, y'= 9, Y=0, y=0 4.

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Q: x' = -3x + 2y, y' = -3x + 4y; x (0) = 0, y(0) = 2 %3D %3D

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Q: Solve the initial value problem. 4x2. 2 dy (x+ 1)(y + 1)' -X-3 X dx y(1) = 3 ..... The solution is…

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Q: I241 Solve the DE. (3x²y- xy)dx+(2r'y² +x*y*)dy = 0.

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Q: Solve the initial value problem. dy + 9ху%3 8х, у(0)%3D 2 -9xy = y(0) = 2 dx

A: The given differential equation is, The given initial condition is y(0) = 2. Solve the given…

Q: (c) Solve for each of the following. dx (i) Vĩ + Jỹ = 4 (ii) y = 2x2+1

A: We have to find the first derivative of given function.

Q: Solve the initial value problem. (cosx)(dy/dx)+ysinx=6xcos2x, y(pi/3)=(-4pi2/3)

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Q: Find the solution y = y(x) of dy y2 +y dx 0, x3/2 subject to y(1) = 1.

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Q: Solve the initial value problem. dy 5x -x-3 (x + 1)(y + 1)' dx y(1) = 1 The solution is (Type an…

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Q: 1. Solve the following equation: а. yy" + 2y' = (y')² 9y" + 6y' + y = e¯(2 – 4x + 4x?) b.

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Q: dy dx 3x² + 4x + 2 2(x - 1) y(0) = -1. . Check if it has a unique solution in some interval about x…

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Q: Solve the initial value problem: (2x – 3y + 4)dx + (x – 1)dy = 0; y(-1) = 2. %3|

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

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Q: 2. Solve (y 2)dx (x- y 1)dy 0 using the method for linear coefficients in two linear variables. %3D…

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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.