What is the general solution of the differential equation 2ayy' = y? - 2a3 ? %3D O y = r + cr %3D O y? = -a + cr Oy - c(z + 1) + z %3D O y? = - + cz

Q: According to the differential equation: T'=0.1T(1-T/1000)-0.05T What are the equilibrium values and…

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Q: 2. What is the integrating factor of the differential equation (x² -y²)dx + (x² - 2xy)dy = 0?

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Q: Help

A: In such problems ie second order linear differential equations when we are given one solution,y1 we…

Q: 5.Find the general solution of the differential equation y'=x-y+3/x-y

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Q: y + 3xy' – 2(y')³ = 0

A: Product rule of differentiation: (fg)'=fg'+gf' Chain rule of differentiation:…

Q: The general solution of the second-order differential equation y"-y-12y = 0 is: y = c₂e³x + c₂e-4x…

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Q: What is the general solution to the differential equation (2x- 2y- 3)dx (2x*- 4y-2)dy?

A: We have to solve the given 1st order differential equation.

Q: The particular solution to the nonhomogeneous differential equation y" + 4y' +5y = 10x + 3e-* %3D

A: The given differential equation y''+4y'+5=10x+3e-x. The particular integral is computed as follows,…

Q: Suppose that y1 = e x and y2 = e −x are the solution of a homogenous linear differential…

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Q: What could be an integrating factor in solving the differential equation (1 +x*)+(1-x)y = xe* ? +(1–…

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Q: 5. Use a substitution to solve the nonlinear differential equation: (y + 1)y" = (y )²

A: We have to evaluate: (y(x) + 1) ( d^2 y(x))/( dx^2) = (( dy(x))/( dx))^2:Treating y as the…

Q: 2-The exact solution of differential equation ý--4y with y(0)-1 is (a) 2e-4x (b) e-4x (c) e-4x +1…

A: As per as our guideline i am supposed to answer only one question from all these question . To get…

Q: Using the method of undetermined coefficients, The general solution of the differential equation y"…

A: Let us consider the differential equation y''+Ay'+By=Q(x) To solve the equation using undetermined…

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Q: 3ydx What is the general solution to the differential equation 3dy + = y*(2x*)dx ?

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Q: solve the for the general solution of the differential equation( linear homologous equation): y''-…

A: answer  Y = 9x22+ 3x detailed solution is given below

Q: What is the solution of the first order differential equation y(k + 1) = y(k) + 5.

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Q: 5. Find the general solution of the differential equation y=(2y4+2x)y'.

A: Given differentiatial equation: y = (2y^4+2x)y'  Here y'= dy/dx

Q: -3-x+x. y (0) -2. y(0)

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Q: 2. What can you say about a solution of the equation y' = -25y2 just by looking at the differential…

A: Firstly we integrates, then solve it.

Q: Find the general solution of the given higher-order differential equation. du + + 6- drs dr4 12- dr2…

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Q: Find the general solution of the first-order linear differential equation

A: To solve the differential equation dydx-5yx2=1x2, isolate the variables x and y.…

Q: If μ(x) is an integrating factor for the differential equation (x+2)y∗(x−2)y=8x. then…

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Q: y" + 2 y' + y =

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Q: solve the for the general solution of the differential equation( linear homologous equation): y'' −…

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Q: 1. What can you say about a solution of the equation y' = 49y² just by looking at the differential…

A: Given that : y' = 49y2. This is a differential equation and we find solution of this differential…

Q: 2. Form the differential equation from the family of curves y² = Ax² – Bx² , where A and B are…

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Q: What is the general solution to the differential equation (2x-2y-3)dx=(2x-4y-2)dy

A: To solve the differential equation of the type, dydx=ax+by+ca'x+b'y+d Since the equation is not…

Q: The Equilibrium Value for the differential equation y = (y – 4)²(y) a are O 4,0 O 4 O -4,0 O 4, -4

A: To find the equilibrium value of y ' = (y - 4)2( y ) Equilibrium Value :  Is that value where f(y0)…

Q: Find the particular solution to the differential equation y - y - 2y =- 2e when y(0) = – and y (0) =…

A: The characteristic equation of the given differential equation is m2-m-2=0. So,…

Q: The differential equation y' – y = 0 has a solution of 1 y(x) = n! n=0 Show v(r) is a soluution to…

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Q: 9. What is the particular solution of the linear differential equation ,3 Y = x° – 2xy; when x = 1,…

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Q: Solve the differential equation ry"+2(1 – x) y' + (x – 2) y = 2e", if yı = e² is known as a solution…

A: given differential equation  xy''+21-xy'+x-2y=2ex                    ...i claim- if y1=ex is a…

Q: 3. Form a differential equation by eliminating the constants a and b: y = ax² + bx

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Q: (2x3 – xy – 2y + 3) dx – (x²y + 2x) dy =0 - - -

A: The solution is given below in the next step:

Q: Determine the particular solution of the given differential equation: y = 2(3x +y) – 1. when x-0.…

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Q: What is a particular solution to the differential equation 2y dx – 3x dy = 0 when x = 1 and y = 1?…

A: This is Separable differential equation

Q: 3. (D² + 4)y = 0

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

Q: The solution of the differential equation by variable separable method dy (1+ y²) (3x² + 6) 5- is dx…

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Q: particular solution to the differential equation \frac{dy}{dx}=(x−3)y with the initial condition…

A: Given differential equation  dydx=(x-3)y also y(0)=2.

Q: Find the general solution of the differential equation 8d2ydx2-6dydx+y=2x+40sin x

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Q: y" – 2y' + y = -3 - x+x².

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Q: The complementary solution for following differential equation d3x + 5 d2x +26 dt2 dx dt3 150х 600t…

A: In the question it is asked to calculate the complementary solution of the function given below.…

Q: Use separation of variables to find the general solution of the differential equation. (5 + x)y' =…

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Q: What is the particular solution of the differential equation y" + 2y" – 5y' – 6y = 5e?? Particular…

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Q: Find the particular solution to the differential equation: dy/dx=3x^2cos^2y. Solution passes…

A: The given differential equation is in variable separable form. We solve the differential equation by…

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

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Q: Show that the differential equation x¹y³ + x(1+y¹)y' = 0 is not exact, but becomes exact when…

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Q: What is the solution to the equation for the differential equation x^(2)y''+3xy'+y=0

A: The given problem is to solve the given differential equation , the given differential equation is…

Q: What are two linearly independentsolutions of the differential equation y''-5y'-6y=0

A: We have to find linearly independent solutions of the given differential equation.