(D² + 1)y = x²e3x

Q: Find the general solution of the differential equation √(x3 − 5)  y′ = x2

A:

Q: Solve the differential equation (x²+1)y' + 3x(y-1)=0 and y(0)=2

A: Topic: Differential equation

Q: b).Solve the differential equation - 22 - 3y = 4x – 5 + 6xe²× by method of undetermined coeficients.

A:

Q: solve the differential equation xy'+(1+2x2)y=x3e-x^2

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Q: A/ Solve the differential equation. (2x² + 3y²-7)x dx - (3x² + 2y² - 8)y dy = 0

A: According to the guidelines we are supposed to do one problem.

Q: Solve the differential equation xy = x2 + y2 dx

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Q: xyy' = x² + 1

A: We have to solve the given differential equation  xyy'=x2+1

Q: Solve the differential equation. dy 3x²y² dx

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Q: Solve the differential equation: y'= 4x(2 – y), y(0)= -6 |

A: Given  DE is y'=4x2-y , y0=-6 Solve the DE

Q: yp²_2xP+Y =o X 0:

A:

Q: Solve the differential equations y’ = −2xy

A: Given, Differential equation y'=-2xy. We need to solve the differential equation. dydx=-2xy…

Q: Solve the differential equation. y ' e 3x + 3ye 3x = 4x

A: Given:                        y'e3x+3ye3x=4x   Solution:                       Let's first convert…

Q: Solve the differential equation 1. x³y" – 2a²y" + 6xy' = ,2, x(2 ln x + 1). -

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Q: Solve the differential equation d2 y/ dx2 + 4y = e3x

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Q: xy' + 2y =, y(1) = -1

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Q: Solve the differential equation: * (D² - 3D + 2)y= 2e-x + 8

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Q: solve the differential equation x2yy'=(y2-1)3/2

A: To solve the given differential equation :-

Q: Solve the differential equation x²y" – y = 1-2x

A: step:-1 Given that x2y''-y=11-2x This is non homogeneous differential equation of second order.…

Q: Solve the differential equation y′′ - 3y′ + 2y = ex - e2x

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Q: Solve the differential equation. xy '- 2y = 9x^2

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Q: 2. Solve the differential equation y" + 3y csc V3x

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Q: 19. Find the general solution of the differential equation 2x2=x +y xp

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Q: solve the differential equation 2x2 dx - 3√y csc x dy = 0

A: 2x2 dx-3ycscx dy=0 On simplification, we get ⇒2x2 dx=3ycscx dy⇒2x2cscx dx=3y dy⇒2x2sinx dx=3y dy…

Q: Solve the differential equation: xy' – y = 2x Inx 1.

A:

Q: Solve the differential equation: (2y+3)y'=-(1-3t²)

A: Given that: (2y+3)y'=-(1-3t2)

Q: Solve the differential equation. (x² + 15)y' = xy

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Q: a. Solve the differential equation of (2x + y)dx – xdy = 0

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

Q: V1- y²dx + /1– x²dy = 0 %|

A: Topic:- Differential equation

Q: Solve the differential equation x²y" – y = e¯*.

A: Solution of given equation is given as:

Q: Solve the differential equation (8) 2x2y′′−xy′+(1+x)y=0

A:

Q: Solve the differential equation: + – v² + y = 0, a > 0

A: Given differential equation, x2y''+α2x2-v2+14y=0,     α>0 Find the solution of the differential…

Q: Find the general solution for the differential equation. y' = 2 - x³ + x6

A: Given query is to find the solution of the differential equation.

Q: Solve the differential equation. (y2 +x y2) y'   =  1

A: First separate the variables in the given differential equation.…

Q: Solve the differential equation. xy' – 2y = x2, x > 0

A:

Q: Solve the differential equation: p3-4xyp+8y2=0

A: Given differential equation p3 - 4xyp + 8y2 = 0                                             (1)…

Q: Solve the differential equation y" - 4y' + 4y% =

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Q: (3x2y-6x) (x³+2y) dy dx 3.

A:

Q: solve the differential equation: y2dx+(x2-xy-y2)dy = 0

A: Given:    y2dx+x2-xy-y2dy=0

Q: Solve the differential equation: y" – 2y' + y = - x2+4

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Q: . Solve the differential equation d²y + y = csc x dx2

A: We have to find out

Q: Solve the differential equation 2x dy/dx + y = 2x0.5

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Q: Find the solution to the differential equation y'-2ty = 4t

A: Solve the above differential equations.

Q: Find the solution of the differential equation. y`+3x=x+e-2x

A: Given query is to find the solution of the differential equation.

Q: Solve the differential equation. (2xy3)dx-(1-x2)dy=0

A: We can solve using by separation of variables

Q: Solve the Differential Equation. 1. dy/dx=y-xy3e-2x

A: The differential equation is given as , dydx=y-xy3e-2x

Q: Solve the differential equation dy/dx = 5-2x/3y2-2

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Q: Solve the differential equation y' - 3y = δ(t-1), y(0) = 0

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Q: Solve the differential equation: (x2 + 11)*y' = xy

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Q: Solve the differential equation: (3x2y3ex+y3+y2)dx+(x2y3ex-xy)dy=0

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Q: Solve the Differential Equation: y"+ 3y' = 2x + 6

A:

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.