dy – xy = x, y(0) = 2 ху —D У (0) %3D2 dx

Q: Solve the given differential equation by separation of variables. dy xy + 3x - y - 3 dx xy - 2x + 4y…

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Q: FIND THE GENERAL SOLUTION OF THE DIFFERENTIAL EQUATION: ( y^2 + 3 )dy = ( y - 2 ) lnx dx

A: To solve given differential equation first we separate the variables and then taking integral on…

Q: Solve the differential equation: dy x=+(7x – 7)y = 4x³ dx

A: On dividing the given equation both sides by x we get, Hence the given differential equation is of…

Q: Find the general solution for each differential equation.

A: we have to find the general solution of the given differential equation. dydx+2xy=4x

Q: dx Solve the differential equation 4х + 6у+5 dy 3y+ 2x+4

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Q: dy+2ydx=e-4x

A: dy+2ydx=e-4x⇒y=-12e4x+c1e2x

Q: i. Solve the differential equation (x + dx-y = (x+2)², given that when x = 0, y = -4.

A: This is first order ordinary non homogeneous differential equation.

Q: Find the general solution in the differential equation xdy + ydx = 2(x^2)(y) dx.

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Q: Q.4 Solve the differential equation . d*y d³y d²y dy + 4 dx* dx³ dx² dx

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Q: Solve the differential equation: dy/dx + x2y = 3x2 , y(1)=6

A: Calculate the integrating factor and solution.

Q: Solve the differential equation by variation of parameters. 2y" - 4y' + 4y = e sec x y(x) = Need…

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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: 3. 3x²y dx - (x³ + y³)dy = 0, y(1) = -2

A: Solution to the differential equation

Q: Solve the differential equation y (2.x³ – x²y+ y³) dx - x (2x³ + y³) dy = 0.

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Q: Solve the first order differential equation: (dy)/(dx)=(1)/(1+e^(3x+y+2))

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Q: mple 2.6 Solve the differential equation: (x-2y+1)dx+(4x- 3y-5)dy=0

A: Solve the given differential equation:              (x-2y+1)dx+(4x-3y-5)dy=0

Q: Find the general solution of the differential equation dy 2x² (y > 0). dx y+1 Leave your answer in…

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Q: 4) (y + x² ) dx = xdy Find the general solution to differential equations

A: We have given a differential equation   y + x2 dx =  x dy ydx + x2 dx = x dy x dy - y dx = x2 dx

Q: Find the general solution of the differential equation. dy/dx = 3x2/y2

A: Consider the given equation dydx=3x2y2

Q: Find the general solution for each differential equation.

A: The given differential equation is, dydx=3x2+ex4y3 On separating the terms, we get…

Q: ५ Exh x dy y dx Find the general solution to differential equations

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

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Q: 2(у — 4x?)dx + хӑу 3D 0

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Q: Solve the given differential equation by separation of variables. dy xy + 5x - y - 5 dx xy - 2x + 6y…

A: We can solve the given differential equation by using the variable separable method.

Q: Solve the differential equation: (x^2 – xy + y^2)dx – xydy = 0.

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Q: 2. Solve the Differential Equations. (y² - xy )dx + x² dy HO

A: To solve the given differential equation.

Q: 1 Solve the differential equation: dy +(4x-7) y= 2x° dx

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Q: Find a general solution to the differential equation.   y''-y=-21t+5   y(t)=?

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Q: Q9// Solve the differential equation dy x-= y + Vx² – y² dx

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Q: y+2y)dx+(xy²+8j"-4x)dy=0

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Q: dy Solve the differential equation = dx = -5x√y. √y = -5x² + Cor y = 0 √y = -5x² + Cor y = 0 2 √y =…

A: Here is the solution:

Q: If the characteristic equation of the differential equation 27 d d'y –18 dx dx² -y=0 is dx 27m* –…

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Q: (10 — 6у + е 32) dx -3x 2dy = 0 -

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Solve the differential equation: dy/dx = = (y3 + y2 − y − 1)x2

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Q: b. Solve the exact differential equation (9x* +5x*y*)dx +(4x°y° -7y° )dy = 0.

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Q: solve the differential equation. (x - 2y + 4)dx + (2x - y + 2)dy = 0

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Q: Given the differential equation x d² y dx² 0 and one solution y₁ = A (constant), use reduction of…

A: This question is related to ordinary differential equation.

Q: Solve the differential equation (1+2e ))dx+2eY (1 –4)dy = ( y

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Q: Find the particular solution of the differential equation. dy - 4x³ e dx ; y(0) = 9 y =

A: Here I am attaching image so that you understand each and every step.

Q: (x - y) dx +(3x + y) dy = 0

A: The given differential equation is: (x-y)dx+(3x+y)dy=0...(1)

Q: Solve the differential equation x/1+ y² + yv1+ x² = 0 %3D dx

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Q: 3. Solve the differential equation (xr² + y² )dx + xy dy =0.

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Q: Given the linear differential equation dy/dx + ytanx = 2. find the general solution.

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Q: xdy-[y+xy3(1+Inx)]dx=0 Find the general solution of the differential equation.

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Q: Solve the given differential equation. (y² + 5) dx = y sec²(x) dy

A: For the given differential Equation (y2+5)dx=ysec2(x)dy is  y=cex+cosxsinx-5 , y=-cex+cosxsinx-5

Q: solve the differential equation dy/dx=(4x+y+1)^2

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Q: Solve the given differential equation by separation of variables. dyxy + 5x - y – 5 dx xy - 2x + 6y…

A: Solution: The objective is to find the solution to the given differential equation

Q: Solve the given differential equation by separation of variables: = 5y dz Oy = cr5 ) y = ¿xª +c Oy =…

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Q: Solve the differential equations. dy = (y²xe** – 3x²y)dx

A: Given:- dy=(y2 xex3 -3x2y)dx  To find:- General solution for given differential equation

Q: Solve the linear differential equation dy y 2x2 dx

A: This ODE can be solved as follows: