The system changed so that the right-hand side of the differential equation is 0. Use the separation-of-variables technique to find the expression of the current (general solution).

Q: What is a particular solution of a differential equation?

A: Particular solution: particular solution of a differential equation is obtained by known value for x…

Q: 5x y = C, + C2e4x 4

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Q: How  can we apply second-order differential equations to the study of vibrating springs and electric…

A: Generally the equations of the analogous systems are second order differential equation with…

Q: What does the general solution of a first-order differential equation represent geometrically?

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Q: Which of the options is the differential equation that accepts the solution of the following…

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Q: What is a modeling with differential equations?

A: Modeling is the process of writing a differential equation to describe a physical situation.

Q: Find the differential equation whose solution is given by: y^2=4ax

A: To find the differential equation for y2=4ax differentiating this equation with respect to x.

Q: Give an example of a linear, nonseparable differential equation.

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Q: What is the general form and standard form of exact differential equations?

A: Differential equation: A equation is that the linear combination of the variable quantity and…

Q: Find the general solution of the differential equation or state that the differential equation is…

A: Given differential equation: y'=x6y Convert the above differential equation in the first order…

Q: can you give an example in real life, where differential equations are applied?

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Q: Please solve the differential equation yı=6x+10x4+12e3x+7/x5

A: We have to find the general solution of the differential equation dydx=6x+10x4+12e3x+7x5. It is a…

Q: y(4) + 3y"" — 10y" = 0

A: Given differential equation y(4)+3y'''-10y''=0 To find the general solution, lets find auxiliary…

Q: We saw that in the nonlinear system of differential equations:

A: Given: The nonlinear system of equations is, H  x, y=y22+x22-x33

Q: -y'-11ly 0

A: Given differential equation is y''-y'-11y=0

Q: Find the differential equation whose general solution is y = C1x + C2ex. %3D

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Q: Find two linearly independent solutions of the differential equation, then write the general…

A: We Know That,  If y1(x),y2(x) is a fundamental system of solutions, then the general solution of the…

Q: find the general equation of the differential equation

A: As per the honor code, we are entitled to solve only 1 question at a time so I am providing you the…

Q: (y – c,)² + (x – c2)² = 1 %3D -

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Q: Determine the general solution of the differential equation

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Q: Find a differential equation whose general solution is y = cjet + cze-". = 0

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Q: Calculate whether the differential equation is exact or not and Find the general solution.

A: The given differential equation is:x2+2x+ydx+2dy=0We need to check whether the equation is exact or…

Q: 1 2 1. X 0 -2 1 X || 3

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Q: Find the order of the differential equation. And check if it is linear or nonlinear.

A: Given the differential equation

Q: give an own differential equation     solve for the solution when  x=2 and y=0

A: Given, We have to write own differential equation  and Write the particular solution when x = 2  and…

Q: Find the general solution of the differential equation

A: We have given differential equation drds=49r We have to find general solution of differenial…

Q: How can you tell that a differential equation is separable? Thatit is linear?

A: We can say differential equation separable  if it  can be written so that all terms in x and all…

Q: y = Clx+ C2e

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Q: Find a differential equation whose general solution is 9t = C₁e⁹t + c₂e-5t. y = = 0

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Q: Please Find the general solution to the differential equation x'''+x''+x'+x=0

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Q: Explain the Systems of Differential Equations?

A: We have to explain system of differential  equation.

Q: equation

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Q: Make up a differential equation that does not possess any real solutions.

A: A differential equation consists of a dependent variable, independent variable and derivatives of…

Q: What is a Solution to an Ordinary Differential Equations?

A: The Solution to an Ordinary Differential Equation is an equation that satisfies the given…

Q: 3. (D² + 4)y = 0

A: Given:         D2+4y=0      Auxiliary equation is        m2+4=0         m2=-4          m=±-4…

Q: (D² − 4)y = 8e²x – 12 -

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Q: Find the solution of the differential equation system

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Q: X' -1 et x + 3 -2

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Q: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

A: The capacity of the theater is 500 people. At a certain time, the number of people in the theater is…

Q: Find the solution of the system of differential equation

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Q: 4. x" +x=e+!.

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Q: What is a first-order differential equation? When is a function a solution of such an equation?

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Q: Find the differential equation whose solution is given by y^2=4ax

A: topic - differential equations

Q: Use separation of variables to find the general solution of the differential equation. ely' = 3x5 +…

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Q: Write down the solution of the differential equation: x² y" -4 y' + 4y = In x

A: Consider the expression lnx as t. Differentiate the equation t=lnx and simplify to obtain the…

Q: Find the general solution of the differential equation or state that the differential equation is…

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Q: A bowl is removed from a pottery kiln at a temperature of 200 degrees Celsius and placed on a rack…

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Q: Find the general solution of the system of differential equations

A: In this question, we solve the system of differential equations by using the given characteristic…