dy 2x-3 dx

Q: Find the general solution of the differential equation and check the result by differentiation.

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Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

A: Given, dydt=64t7

Q: Determine the quadrants in which the solution of the differential equation dy/dx = (1/2)xy is an…

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Q: Use an Integrating Factor to solve the differential equation.

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Q: Find the general solution of the differential equation.

A: The reduction formula of integration enables to reduce the degree of the integrand and calculate the…

Q: Find the solution to the differential equation dz 3te7 dt

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: Proceed as shown below...

Q: Find the general solution of the differential equation below and check the result by…

A: Given : dYdx = 12x2+4x

Q: Use integration to find a general solution of the differential equation.

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: The given differential equation is: dydt=45t4

Q: Use integration to find a general solution of the differential equation        dy/dx = 4x2 + 7

A: Given ,     dydx=4x2+7      dy=4x2+7dxThis is variable seperable form .

Q: ( .) Find the solution to the differential equation dz dt that passes through the origin. 2= 5te6z

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Q: Solve the differential equation using separation of variables: dy + y² +y= 0 dx

A: The given DE is: xdydx+y2+y=0...(1)

Q: Use integration to find a general solution of the differential equation       dy/dx = e2−x

A: dydx= e2-xdydx= e2e-xdy = e2e-xdxThis is variable separable form

Q: 3. dy = (x – 3y)dx

A: The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution is: ∫Md⏟Take 'y'…

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: solve the differential equations by using integrating factor y'= (y/x) + 2x+1.       when ; y(1)= 3

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Q: Find the complete solution of the differential equation, y' = 2 - cot.

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Q: Find the general solution of the differential equation, (5e-3 sin (3x)) dx + (5xe-y + 2 cos(3x)) dy…

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Q: Solve the given differential equation by finding an appropriate integrating factor to make it exact…

A: Given equation is the linear equation  of the form  dxdy+xP(y) = Q(y)  and integrating factor is…

Q: dx + (1 – x²) coty dy = 0

A: Given differential equation is,

Q: (2х + Зу — 5)dx + (3x — у — 2)dy — 0

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Q: Determine the solution to the differential equation given by: y''-2y'+y=sin x

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Q: dy + y² +y =0 dx

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: Solve the given differential equation by separation of variables. csc(y) dx + sec sec2(x) dy = 0

A: Solve the given differential equation by separable method.

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: Solve the differential equation using simple substitution. dy/dx = e^(x+siny)

A: Given differential equation is: dydx=e(x+siny) Rewriting given differential equation:…

Q: Find the general solution of the differential equation y′ = √(tan x) sec4 x

A: The function is y'=tan xsec4x. To find the general solution, integrate both sides of the equation.…

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: Find the general solution of the differential equation and check the result by differentiation. dy =…

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Q: Show that the differential equation below is homogeneous and find the general solution.

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Q: Find the general solution of the differential equation and check the result by differentiation.…

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Q: 6x2 dy dx'

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Q: Use separation of variables to find the general solution of the differential equation. dy 5x2 + 7 dx

A: Given:

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: Solve the differential equation using separation of variables: dy + y* + y = 0 dx

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

A: First Solve differential equations ,

Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: Find the general solution of the differential equation and check the result by differentiation. (Use…

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Q: Find the general solution of the differential equation and check the result by differentiation.…

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Q: O y"+y= secx cosecx %3D

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Q: find the general solution of the differentialequation and check the result by differentiation.dy/ dt…

A: The given differential equation: dydt=x32 Integrate both sides of the differential equation with…

Q: Determine the solution to the differential equation given by: y' + 2y = 4 cos x

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Q: Find the solution to the differential equation dz 3te3z dt %3D

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Q: Find the particular solution that satisfies the differential equation and initial condition. f"(x) x…

A: “Since you have asked multiple questions, we will solve the first question for you. If youwant any…

Q: Find the general solution of the differential equation and check the result by differentiation.…

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Q: Solve the differential equation using separation of variables: dy +y° +y=0 dx

A: The detailed solution is given below Thank you

Q: Find the general solution to the given differential equation. (Use C for the constant of…

A: Given,         dydx=x5y

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.