d³y . 4 dx3 -13 + 6y = 0 dy dx

Q: Find the solution of the Linear Homogenous Differential Equation with Constant Coefficients. (D3 +…

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Q: (2x- 3y+4)dx+3(x–1)dy = 0 ; when x = 3, y = 2

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Q: determine the general solution to thegiven differential equation. Derive your trial solution…

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Q: xdy +(y– xy+2)dx = 0

A: The given differential equation is; xdx+(y-xy+2)dy=0

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

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Q: 1) dy +=y Inx ,2 y² dx

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Q: Verify that the general solution satisfies the differential equation. Then find the particular…

A: We have to solve

Q: 6. (D² + 1) y = x cos x

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Q: What will be the order of differential equation if its solution is y = C,sinx+ Cze O a. None of…

A: To find the order of the differential equation if it's solution is: y=c1sinx+c2e−x

Q: The solution of the differential equation dy dx 6. is 6x + C 6lnx + C | 4 6x + C 5 6lnx + C 2

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Q: If x = 2sinθ, y = 1 – 4cosθ, then dy/dx is equal to (SOLVE BY USING DIFFERENTIAL EQUATIONS)

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Q: When à = 0 the differential equation becomes X" = 0 which gives the solution X = ax + b.

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Q: Make an appropriate substitution to find a solution of the equation dy/dx = sin(x – y). Does this…

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Q: 4. (D* – 1)y = 0

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Q: 3. (D³ – 3D² +4)y = 40cos2x + 6

A: Given, D3-3D2+4y=40 cos2x+6 Its auxiliary equation is, m3-3m2+4=0⇒m+1m-22⇒m=-1,2,2 Hence,…

Q: (2y³ + 4) dx = (6-- 2ay') dy 2ху?) dy

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Q: find the solution of this differential equation: (x − 1)y′ = y + 2(x − 1)^3

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Q: 4(3х + у — 2)dx — (3х + у)dy %3D 0 -

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Q: (x² – y²) dx + (x² – xy) dy = 0

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Q: 2ху+3у? dy 7. dx x2+2xy

A: Solution of these differential equation  Using y= vx

Q: How can I solve this differential equation? (x^2+1)(dy)/(dx)+y^2=-1, y(0)=1

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Q: ‏Solve the differential equations by direct method dy/dx=1/4X^2+ 4x + 2

A: Given, dydx=14x2+4x+2 Now we shall differentiate the given equation by direct method.

Q: (1+y + xy%) dx + (x* y +y + 2Xy) dy = 0

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Q: 2) dy = y² (1+ex) dx

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Q: 2xdy-y(x+1)dx+6y3dx=0 Find the solution Differential equations

A: We will try to convert this equation into the form of a standard Bernoulli's equation.

Q: Find the solution of the following Differential Equations by Homogenous Equation 6) y'=+x y-x

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Q: 1. y-14y- 48y = 0 2. y'-12y + 27y = 0

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Q: Please answer this Non- Homogenous Linear Differential Equations with Constant Coefficients:   (D2…

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Q: 1. (2D² + 3D + 1) y = e-3=

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Q: 6T y" – 12y' + (36 + sin - -60e7x

A: The given function is,y''-12y'+36+sin6π2y=-60e7x

Q: THE

A: Please refer to the image below

Q: 2. (2х- Зу +1)dx - (3x+2y-4)dy 3D 0

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Q: Find general solutions of bernoulli differential equations.   xdy + ydx = x^3 y^6 dx

A: For linear differential equation ,dydx+P(x) y = Q(x)Soultion is :y x I = ∫IQ(x) +Cwhere I = e∫P(x)dx

Q: 6. (x- y)dy+(x+y)dx = 0

A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

Q: dy 1. da + Зу 3D 2ге 2xe-3r du

A: Using differential equations.

Q: 1. y(1+xy)dx – xdy = 0 %3D -

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Q: 5. dy/dx + (y/x ) = (y/x )2

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Q: Solve dy dx x+ V xy

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Q: Give a general solution of the differential equation y"–9 y = −2t cos 3t

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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: Find the solution of the Linear Homogenous Differential Equation Cofficients. D²(D + 2)*y = 0 =D(

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Q: 3. (D² + 4)y = 0

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

Q: Find the general solution of the differential equation except when the item stipulates otherwise.…

A: The solution is given as

Q: Solve the differential equation by variable separable method dy (1+ y) (3x² + 6) = 2- dr 13 + 6z

A: To find- Solve the differential equation by variable separable method dydx = 21 + y23x2 + 6x3 + 6x

Q: (axy + x² + x4 ) dx – (1 + x²)dy = 0

A: Use linear differential equation condition

Q: 3. (D² – 7D + 6)y = 3x² – 2x + 5

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Q: (D² + 1) y = x cos x

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Q: Use separation of variables to find the general solution of the differential equation. dy 6x4 + 7 4…

A: To find the solution of the given differential equation first we seperate variable.dy, y terms to…

Q: (D² – 2D + 5) y = 25x² + 12

A: Given: D2-2D+5y=25x2+12 So,  The auxiliary equation is: m2-2m+5=0 Now solve; m2-2m+5=0m1,…