Q2: Solve the following differential equations. dx 2х — Зу X(0) = 8 dt dy = y —D у — 2х Y(0) = 3 dt

Q: Solve the separable differential equation Subject to the initial condition: y(0) = 9. y = 11x -…

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Q: Use the method of comparing the coefficients to find a particular solution for the differential…

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Q: find the general solution of the given equation. y'' + 16y = 0

A: Given , y''+16y=0Lrt , y=Aemx≠0be the trial solution of the given differential equation .Then…

Q: A tank contains 60 kg of salt and 2000 L of water. Pure water enters a tank at the rate 12 L/min.…

A: Given that a tank contains 60 kg of salts and 2000 L of water. Pure water enters a tank at the rate…

Q: find the general solution of the given equation. y'' + 25y = 0

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Q: dy %3D ху + 3х — 2у — 6 dx -

A: We have dydx=xy+3x-2y-6 Now, we can write it as…

Q: Find the Homogeneous Differential Equation of: (x2-xy+y2)dx + xydy=0

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Q: A- Solve the differential equation: x² -x+ 5y = 0 dx2 dx dz and dx dy given B- Find dz z = xy² +…

A: Q5: A)   given differential equation is…

Q: Solve the following difference equation with initial conditions: 12Yn + Yn+1 = Yn+2, Y₁ = −2, Y₂ =…

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Q: dy Q.2 Solve x/1+ y² + yv1 +x² = 0. dx

A: The expression is x1+y2+y1+x2dydx=0 Multiply both sides by 11+x2·1+y2…

Q: Find the exact solution to the differential equation: y = y+3, y(2)=-2 x-2 Answer: y =e -3

A: Given DE is y'=y+3. We solve this DE by separation of variables.

Q: Q1/ solve the differential equation - 24 - 2xy with initial condition y(1) = 1.

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

Q: У (х + 1) dy dx хз + x2 -2х У(1.1) — 0.5

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Q: d y = dt 2y - 7t 3t-2y

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Q: To solve the differential equation 3dy/dt + ty² =sint,  y(0) = 5 by the 4th order Runge-Kutta…

A: Given differential equation

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: Q: Solve the following differential equation: In(y² + 1)dx + 2y(x-1) dy = 0 y2+1

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Q: (1 + t2)(dy/dt) + t · y = (1 + t2)5/2. Find general solution. SHOW ALL STEPS PLEASE. I DON'T KNOW…

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Q: Q6) Solve the following differential equation: dy =y-4y2, - by Euler's method (4 steps, h-0.1). y…

A: Sol:- The step size is h=25-04=110hThe Euler's method states that…

Q: Find the general solution of the given equation y''  - 9y = 0

A: From the given data:

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

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Q: Please solve the following differential equation: dy (e2x + 4) – y dx (х — у) (4х + у)dx — x(у —…

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Q: Determine the solution of the 1st Ordered Differential Equation: 3(x² + y²)dx + x(x² + 3y² + 6y)dy =…

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Q: : Solve the following differential equations. dx 2х — Зу X(0) = 8 dt dy —D у — 2х Y(0) = 3 dt

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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.