CM The initial value problem: x dy 2a²y = 23 .3 In(3) is linear. Find the explicit solution to this IVP. dx 1+ x³' Y(2) =1+"

Q: solve D.E. by using separable of variable dy 1 V2xy dx

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Q: y² – 2x ry? dy = 0; y(-1)

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Q: If y = 2x - 1 3x + 7 find dy dx

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Q: 6. Solve the initial value problem: dx (x² + 2y²). = xy, y(-1) = 1 dy %3|

A: First of all write the given initial value problem in MDX+Ndy=0 form which is the homogeneous…

Q: dy - (1+ x)y = xy² dx %3D

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Q: 1. Separating the variables dy 1 x(y- 3) =D4y dx %3D

A: In the separation of variables method of solving the differential equation, the different variables…

Q: Solve the inital value problem from the differentail equation: dy/dx = 1+ y       where y(0) = 1

A: Given: Initial value problem. dy/dx = 1+ y       where y(0) = 1

Q: 1 Ty dy dx zdz 0 0 0

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Q: dy 1. + 2xy = x dx

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Q: 1.2. Solve the following DE's and find particular solutions where possible. i. (y? + 4)lnx + x 0,…

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Q: dy 4. x2 + y? = dr xy (Bernoulli DE) %3D

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Solve the Linear DE: 2y (y2 - x) dy = dx. %3D

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Q: Solve the D.E dy – (2x/1- y2)dx = 0

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Q: 3. Find the General and Particular solution of = 3y ; y= 3,when x = 0 dx

A: Take integration on both side and then put initial value

Q: Solve the problem y' = x²y², y(0) h = 0. 1. Select the correct answer. = 1 numerically for y(0. 2)…

A: Euler's Method is used

Q: 10. use "Bernoull's Equation" method dy -y= ey! dx

A: The given problem is to solve the Ordinary differential equation using Bernoulli equation method, we…

Q: dy Find if 2x2 dx 2 + y In (xy) =

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Q: dy + (y dx = x* dx; y(0) = 2 2Vx.

A: Linear DE is of the form: dy/dx + P(x) y = Q(x)

Q: What is the general solution to the following equation: (dy/dx)= (y/x)+6x+1

A: Compare the given differential equation with standard form and calculate the integrating factor (IF)…

Q: Solve the following D.E: dy 4. = dx xy3 1+x² ,y (0) = 1

A: 4)Given 1st order non linear differential equation is the following :by separation method we get…

Q: LS e*y dx dy dz 4.

A: Solution is given below:

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.