Find the solution of the initial value problem dy 2 - - 4y + 0, y(1) = 2 dx

Q: Q3/ Solve the following equations: 1- х(2у — 3)dx + (x2 + 1)dy %3D0 dy 2- dx 4y x (у-3) 3. y' = 2xy…

A: Note that there are so many ways to write the final answer of the differential equation.

Q: In Bernoulli equation y' - xy = xy³, the value of 1(x) is ex² False True O

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Q: Q1\ solve the equation : d²y dy + 7 +12y= 1 for initial condition y(0)= 1 y(0)=2 dx2 dx

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Q: Find the general solution of (x+2y– 4)dx-(2x+5-y)dy=0

A: The given differential equation is of Reducible Homogeneous form . We solve it using following way .

Q: If u = and , then what is the magnitude of 2 + . Round to the nearest hundredth. Answer:

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Q: Find the general solution of dy/dx= xy-y/x^2-5x+

A: To find the general solution of the below differential equation. dydx=xy−yx2−5x+6

Q: dy 3y Vx +1+x = 0, y(0) =1 dx

A: Explained below

Q: 6z dy (78)a

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Q: the st sub: Z = the + 4x = x²(4t + 3), x(1) = 4.

A: Given differential equationAssume

Q: 2x y" +5xy' + y = 3x +2 Answer y(x) = +은+2+

A: The given equation is of the form ax2y''+bxy'+cy=g(x) The solution to the above equation is given by…

Q: solve the deq by method of substituiton

A: The given differential equation is 2x+y+4dx+x-2y-2dy=0......(1) We shall solve the differential…

Q: ye x, (21x) satisfie s Show that the equation

A: Given: The given equation is xy''+n+1y'+y=0  ,  y=xn22x

Q: 5. (y – x + 3)dx + (x + y + 3)dy = 0; x = 1; y = 4. Solve in two different methods.

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Q: Solve 4 x*dy +y*dx = 0

A: The given differential equation is: x4dy+y4dx=0x4dy=-y4dxdyy4=-dxx4

Q: find general solution (x − 3y + 5)dx + (3x − 9y − 6)dy = 0

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Q: (a) Solve y" + xy + (2r – 1)y = 0, %3D near z = -1, if y(-1) = 2; y'(-1) = -2.

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Q: (с)(2у) dx + (6x3— ху — х)dy 3D0

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Q: Find the general solution of the D.E. (y^2 - 2xy + 6x) dx = (x^2 - 2xy + 2) dy = 0 Show your…

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Q: Solve the initial value problem: (3x + 8)(y² + 4)dx – 4y(x² + 5x + 6)dy = 0, y(1) = 2

A: A differential equation is said to be in separable form if it can be written in the form . Such a…

Q: Solve the DE xy(y² + 1)dx + (x²y² - 2) dy; y(1). = 1 O x^2 (y^2 - 1) = 2 - 4ln(y) O x^2 (y^2 + 1) =…

A: Here we have to solve the differential equation.

Q: Determine the general solution of (x-2y)dx + (2x+y)dy = 0

A: See the details solution in below

Q: 4x − 5y + 3)dx − (2x − 3y − 1)dy = 0 how solve this problem?

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Q: (1 + t2)(dy/dt) + t · y = (1 + t2)5/2. Find general solution. SHOW ALL STEPS PLEASE. I DON'T KNOW…

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Q: (D2 +DD'+D'-1) z = 0

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Q: Solve y² dt+ (2yt + 1) dy = 0

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