3. (x² – xy + y²)dx – xy dy = 0

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Don’t skip any steps. Solve the separable differential equation : dy/dx = 3x^2y, y(0) = 2

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Q: Q1. Solve the IVP by finding appropriate integrating factor an (x² + y² – 5)dx – (y + xy)dx = 0,…

A: Consider the given differential equation Mdx+Ndy=0 The equation is exact if ∂M∂y=∂N∂x The solution…

Q: Solve ODE for general solution: (2ysin(x)cos(x)-y+2y^(2)e^(xy^2))dx=(x-sin^2(x)-4xye^(xy^2)dy

A: Hence the given ode is exact. Obtain the general solution as follows,

Q: Verify that the indicated family of functions is a solution of the given differential equation.…

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Q: 1. (x* + ху? — у)dx + (у' +x?у+х)dy %3D 0

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Q: Solve this differential equation: dy/dx=y/x+√(1+y/x ) ; when x=1,y=8

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Q: dx/dt=x(1-x)  (Solve the DE using solution for linear and Bernoulli’s equations only.)

A: Solve the DE using solution from linear and Bernouei's eqn only…

Q: (y^2−3−x)dy+ydx=0(y2−3−x)dy+ydx=0 Solve the differential equation using integrating factors by…

A: From the given differential equation: y2-3-xdy+ydx=0 So, we can also write as: y2dy-3dy-xdy+ydx=0

Q: 31. (3x + ²) + ( ²² + 31/1) d dz = 0

A: (a) given differential equation 3x+6ydx+x2y+3yxdy=0 this is of the form M dy+N dx=0 here N=3x+6y ,…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: We know that , A first order linear differential equation has the form ,  y' + Pt y = Qt  We have…

Q: xy dx (x² + 3y²) dy = 0 |

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Using Bernoulli's equation , find the solution of DE:  4xy dy/dx = y^2 + x^2 ; initial condition…

A: The solution follows as:

Q: 3. State the order of homogeneity and solve the differential equation as a homogeneous equation. х…

A: The objective is to state the order of homogeneity and solve the differential equation as a…

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: To find the general solution of the differential equation.

Q: Find the differential equation having each equation as general solution. 7.) y = x + C,x + C,e 11.)…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Verify that the indicated family of functions is a solution of the given differential equation.…

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Q: a) Use the method of Superposition Approach and the variation of parameter to solve the differential…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: 1. Solve the given the equation using the integrating factors found by inspection. ydx + (x + x³…

A: Given that ydx+x+x3y2dy=0Solution :ydx+x1+x2y2dy=0this diffrancial equation in the…

Q: 1. Solve the equation (x – y In y + y In x)dx + x(In y-In x)dy 0 using the method for homogenous…

A: Please see the answer below.

Q: y cos( xy)dx + [2y +x cos(xy)]dy = 0

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Given : The differential equation 5y'+y=3t2 To find : The general solution of the given differential…

Q: Test for exactness and determine the particular solution of: (yexy – 2y³)dx+ (xexy – 6xy2 – 2y)dy =…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: A- Find the solution y(x) of the differential equation +=(x), the initial dx conditions y(0) = 1, y'…

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Q: Solve the disfertial equation xy' -Y =Xtan ) %3D

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Q: solve the equation using differential equation linear in x and y: (2x-3y-5)dx + (3x-y-2)dy = 0;…

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Q: Q2. Solve y [xcos (e)- + ysin (:)] dx – x [ysin 2) – xcos (2)] dy =

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: (3x + 2y3) dx + 3xy2 dy = 0 ,  y(1) = 1

A: Given: (3x + 2y3) dx + 3xy2 dy = 0 ,  y(1) = 1

Q: 5. Find the general solution of the differential equation using GeoGebra (D² +9)y=2 sina

A: General equation of differential equation.

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

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Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y –…

A: Option A

Q: (1+ In xy) dx + (-)dy = 0

A: See the attachment

Q: Find the general solution of the given differential equation, and use it to determine how solutions…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Above question is solved.

Q: Solve the seperable differential equation 3yy' = x. Use the following initial condition: y(3) 10.…

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Q: y dx – 4(x + y^) dy = 0 %3D

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Q: Find the general solution of the differential equation / - 4(sec r + tan x)y' – 4(y – 2) = 0. about…

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Q: Solve the seperable differential equation 10yy' = x. Use the following initial condition: y(10) = 7.…

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Q: Verify that the function   ...    is a solution  of the  differential  equation x dy/dx+3y=2x5 and…

A: Given,          xdydx+3y=2x5

Q: Find the general solution of the differential equation y" + 2y' + y = 10e-t. NOTE: Use c, and ce for…

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Q: Find the differential equation of a family of parabolas with an axis parallel to the x-axis. O y"y"…

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Q: Obtain the particular solution when x = 1 and y = 1 y(x^3-y^-5)dx-x(x^3+y^5)dy=0

A: Here is the solution of the given differential equation.

Q: Solve this differential equation. (e^x-sin⁡y ) dx+cos⁡y dy=0; when x=0,y=π⁄2

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Q: Find the general solution of the differential equation. (Use C for the constant of Integration.) dy…

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Q: Find the general solution of the given differential equation, and use it to determine how solutions…

A: Given Equation 8y'+y=8t2y'+18y=t2 Comparing with standard form y'+Py=Q P=18Q=t2