Separation of Variables Is an equation of the form dy /dx = f (x)g( y) - f (x)h( y), g( y) ≠ h( y) separable? Explain

Q: Determination of Integrating Factors : Solve the equation y (4x + y) dx – 2 (x² – y) dy = 0 2x2 - xy…

A: We have to find the Integral factor and solve the equation.

Q: Volume of Solid of a Revolution Show full solution and graph. Thanks! y = 2x - x^2, y = x; About…

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Q: Numerical Integration: 2 1 ² 1. =dx Jo √x

A: As per the question we are given a definite integral and we have to solve it numerically. Here we…

Q: Seawater has density 1025 kg/m and flows in a velocity field v = yi + xj, where x, y, and z are…

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Q: Numerical Integration: 2 1 1. 2. =dx X 5 (2x² – 3x) dx 0 2

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Q: x' cos 2x dx

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Q: Reversing the order of integvation: 4-2x dy.dx. dx dy- www. o2

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Q: . Integrating factors found by inspection.: y(x² – y² +1)dx–x(x² – y² -1\dy = 0

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Q: Integrating Factor by Inspection: (6) 2x*dy = y(3x* + y²)dx = 0 .5

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Q: dx | = xVx² - 1

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Q: separation of variables and evaluate the DE cosx/dx+1/ydy=0

A: The given DE is: cos xdx+1y dy=0

Q: y = 2x - x and y = x; a.) about the y-axis, b) about the line x = 1

A: Given two curves. We need to find the volume by revolution around the given lines.  Let's find out.

Q: Integration by parts tan Cx) dx

A: Given- ∫extanxdx To Find- The value of the above integral.

Q: y" - y' - 2y = 0

A: Given the differential equation is y" - y' - 2y = 0. Here the auxiliary equation is m2 - m - 2 = 0

Q: Linear Differential Equations (19) + 3x?y =

A: First I have written the standard form of first order linear differential equation and then using…

Q: Area under the curve x + y = 3 and the coordinate axis

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Q: 4. Triple Integration Evaluate the equation below ex+y+z dx dy dz

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Q: solution using Integrating Factors Found by Inspection y(x^3y^3 + 2x^2 − y)dx + x^3(xy^3 − 2)dy =…

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Q: ERIVATIVES of dy or y' of

A: Differentiation is the action of computing a derivative. The derivative of a function y = f(x) of a…

Q: emx cos nx dx

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Q: ru 1) y = cje3*cos5x + c2e3*sin5x eğri ailesinin diferensiyel denklemini bulunuz.

A: Given the solution of the differential equation is y=c1e3x cos5x+c2e3x sin5xwe have to find the…

Q: arctan(x) Evaluate dx or show that it diverges. 0, x² + 1

A: Using the fact that, 1/(1+x^2) is the derivative of arctan(x).

Q: Gy" dx -x(2x? +y)dy-0

A: First make it as in the  form of bernouilli equation  then  simple find the integrating factor then…

Q: Differential Equation Initial Condition x(y + 4) + y' = 0 y = -9 when x = 0 %3D

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Q: ating er linear dlferential equation below. hot actually solve the equation.) dy + 3x³y = In x dx

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Q: volume of the solid generated by the curve e-", between x = 3 and x = 8 about the axis is

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Q: integration (x2 / (9 - x2)1/2) dx

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Q: Determination of Integrating Factor Solve (x3 +y2)dx + (x2- 2xy)dy = x3 + 2xy - 2y2 =c O x3 - 2xy -…

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Q: e^x^2

A: Here, we have to find the integration of ex2, So, the given term becomes, ∫ex2dx, Now, in this case…

Q: -2x sin 2x dx

A: The given integral is ∫e-2xsin 2x dx. Consider I=∫e-2xsin 2x dx. The formula for integration by…

Q: ential equation (41 2) = %3D

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Q: solution to Equations of Order One (i.e. Separable, Homogenous, Linear, 1. (1+ y2)dx + (1+ x2)dy = 0…

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

Q: 2 (4) 2 dx + 2 () dy y.

A: This question is based on differential equation.

Q: 9-x dx

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Q: ..2 (2y2 + 5ху 2y + 4)dx + x(2х + 2у — 1)dy -

A: we have  to find integrating factor then find complete solution

Q: Differential Equations Solve: dx + y= sin t dt dy + x cost dt where y (0) = 0, x (0) = 2

A: We have to solve dxdt+y=sintdydt+x=cost    where y(0)=0, x(0)=2

Q: . Linear equation of order one: dy-(x' - 2xy}dx=0

A: The given differential equation is linear differential equation.

Q: . Seawater has a density 1025 kg/m3 and flows in a velocity field v = yi + xj where x, y, and z are…

A: Given Data The density of seawater is ρ=1025 kg/m3. The velocity field is v=yi+xj. The equation of…

Q: 15.f dx 1+cos x

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Q: Determination of Integrating Factors: Solve the equation (4xy + 3y² – x) dx + x (x + 2y) dy = 0

A: This question is from differential equations.

Q: (15у* + 2 dx dy

A: Given that, the integral  ∫12∫1415y4+2x2 dx dy To Evaluate the given integral

Q: Determination of Integrating Factors 1. (2y2 + 3xy - 2y + 6x)dx + x (x + 2y - 1)dy = 0

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Q: 1. Separation of Variables:Solve the equation for x > 0 and y > 0 dx

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Q: S{(x-1)[(2x^3)+(2x^2)+(3x)+2]dx}/[(x^3)(x+1)]

A: As per bartleby guidelines we only give first question answers.

Q: Solving integro-differential equation What is y(t) in (dx/dt) +x+4y=10; x-(dy/dt) -y=0

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Q: Integrating Polynomial Functions ∫dx = ∫1 dx

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Q: cylindrical shell has a thickness of 0.2 cm. Using differentials, approximate the volume of the…

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Q: Integrating Polynomial Functions ∫(x + 2) dx = ∫x dx + ∫2 dx

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Q: Differential Equation  xydx - (x2+y2)dy =0

A: Topic:- Differential equation  As per our guidelines,  only one question with its three sub-parts…

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.