differential equation by using an appropriate substitution.

Q: Determine the type of Differential Equation, then find the solution for it.

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Q: Classify the given differential equation according to its type, order, degree, and linearity

A: Since the given differential equation isyd2ydx2=sindydxwe have to classify type of differential…

Q: (a) 2xy² +x²y' = y², y(1) = -1 %3D

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

Q: Find the solution of the given differential equation

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Q: Solve the differential equation. y' - y = 9ex

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Q: Solve the Bernoulli Differential Equation

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Q: Solve the given differential equation. 10 y' =

A: We can solve given differential equations with the help of variable seprable method-. in this…

Q: determine the value of k that will make the equation exact and solve the resulting differential…

A: we are asked to find the  value of k

Q: Solve the differential equation y' - 4xy = x

A: We have to solve the following differential equation -  y' - 4xy = x⇒ dydx - 4xy = x

Q: Solve the differential equation by using appropriate method or substitutions. dy/dx = 2 +…

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Q: Reformulate the given differential equation using a system of differential equations and solve it,…

A: The given equation is a second order linear, non-homogeneous differential equation with constant…

Q: Solve the differential equation (x2y-2xy2)dx=(x3-3x2y)dy

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Q: Solve the given differential equation by undetermined coefficients.

A: Given,              y''-2y'+2y=e2xcos(x)-4sin(x).

Q: Solve the following Exact/Inexact Differential Equation. If it is inexact, then solve it by finding…

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

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Q: Solve the Differential Equation subject to Þ(0) = 0. Write final answer in explicit form.

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Q: The solution of the differential equation given by x¨ − x = sinht, with x (0) = 0 and x˙ (0) = 0, it…

A: x-x = sin h r⇒ x-x = er-er2       ------ *au xi lasy equn of - *,         m2-1=0…

Q: Given the DE as 2xy² + 4 = 2(3 − x²y)y'.

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Q: Solve the given differential equation. If an initial condition is given, also find the solution that…

A:

Q: determine whether the given differential equation is exact. If it is exact, solve it.

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

Q: .2e*cotydx + (1 + e*)csc²ydy =

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Q: Solve the given differential equation. All solutions should be found. 2xy + y² + 8 x² + 2xy dy dx…

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Q: determine if the equation takes the linear form, if so, find the integrating factor and solve the…

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Q: Solve the differential equation: dy 1273 dx ey

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Q: Solve the Bernoulli differential equation with the given initial condition.

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Q: Solve the differential equation y" – 2y' + y = ° *| *

A: solve the differential equationy11-2y1+y=exx .....(i)

Q: b) Find the general solution to the differential equation

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Q: Solve the differential equation. y' - y = 8e* %3D

A: For this we have to find first complement

Q: (4)_y= 16e

A: We have to find solution

Q: g: find the solution of differential equation

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Q: Solve the differential equation. y' = 4x – y %3D

A: Let v=4x-y Differentiating both sides we get: ddx(v)=ddx(4x-y)v'=4-y'y'=4-v'

Q: Show that the following differential equation is exact and solve the equation as an exact…

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Q: Find the solution of the given differential equation.

A: Here in order to solve this differential equation, we will first check that the differential…

Q: 2 Solve the linear differential equation

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Q: Use substitution to find a general solution of the differential equation  a)  x^3*y'+x^2*y=y^2…

A: We need to convert Bernoulli equation into linear differential equation form by using substitution

Q: Solve the given differential equation by separation of variables. ds ks = dr S =

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Q: State the order of the given ordinary differential equation. Determine whether the equation is…

A: In the question it is asked to calculate order of differential equation. also it is asked to show…

Q: solve the given equation using homogenous differential equation. solve no. 2

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Q: Determine whether the equation is exact. If it is exact, find the solution. If the differential…

A: We have to determine that the given differential equation is exact or not. If it is exact then we…

Q: Determine whether the given differential equation is exact. If it is exact, solve it.

A: Note: Our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: Solve the differential equation with appropriate method. Simplify final answer the simplest…

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Q: Find the order and degree of the differential equation:

A: Given,                d2ydx2+5dydx4=13sinx

Q: dx = 3x (0)=2

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Q: Solve the differential equation. y' - y = 3ex

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Q: solve the differential equation. 3)yーッー メ+1

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Q: solve the given differential equation using proper replacement.

A: Here we have to solve the given differential equation using proper replacement.

Q: y'-5y= x'e* – xe* ito

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.