7. Solve: dy x + 3y dr 3x + y

Q: Solve y′′ + 4y = u2(t), y(0)=1, y’(0)=2

A:

Q: 3. Verify that y= 3e-2x + 4e* is a solution of the equation y" – 3y' + 2y = 0

A:

Q: Solve: xy + y + 4x³y¹ = 0 O 6ry³ + Cr³y³ = 1 O 15r y³ +Cr³y³ = 4 O9r³y³ + Cr³y³ = 5 O 2r³y³ + Cr³y³…

A:

Q: Verify whether y(x) = 2e-*+xe-* is a solution of y" + 2y + y = 0.

A: Topic = Differential equation

Q: Show the solution of xdy/dx+2y=x^2 is y = x^4+C/4x^2

A: By arranging given differential equation we will get that it is of the form     y' + P(x)y = Q(x)…

Q: compute ∫_D 2ydx+3xdy, where D is described by 0≤x≤1, 0≤y≤1

A: Green's Theorem: Let C be a positive oriented, smooth, simple closed curve. Let D be the region…

Q: Solve 4y" + 4y' + 17y = 0, y(0) = -1, y'(0) = 2. %3D

A: We will find out the required solution.

Q: Solve using indeterminate coefficients y '' + 9y = x ^ (2) e ^ (3x) + 6

A:

Q: Show that y = ex + 3xex  is a solution of y"-2y'+y=0

A: The given differential equation is,

Q: Solve the dff oq 2. 3. 3. %3D 1

A:

Q: 2 Consider the hypocycloid with equation y 3 +x3 =73 2 2

A:

Q: Solve Ytt = = 4yxx 0 0 Yx(0, t) = 0, Yx(1, t) = 0, Y (x, 0) = 0, y(x, 0) = 3cos(2nx)

A:

Q: Solve the DE y'=(x+y+2)^2, y(0)=2 by setting u=x+y+2.

A:

Q: - Find the number of non negative solutions to x + y + z = 21.

A:

Q: 3. zy if y + x² – 3xz = 222

A:

Q: 4) 8r dz dy dr

A: Solve the triple integral

Q: 6. Find the solution of dy = (y² – y)x². dr

A: Definition used -          The solution of the variable separable differential equation-…

Q: Solve for y 6 + 3y = 12 O y = 2x + 12 Oy = -a+ 4 O y = -2x + 4 Oy=-2x + 12

A:

Q: What is the solution (ry – r) dr + (x²y + y) dy = 0 when 2 and y = 1

A:

Q: Solve y′′ + 4y = u_2(t)

A:

Q: Find the solution to y'=√2y satisfying y(0) = 20.

A: The equation y'=2y is the differential equation, hence the solution of the differential equation is…

Q: 2 c4 e-x-2y dydx 2х

A: It is double integration problem

Q: Use variation of parameters to find the particular solution to y'' + 5y' + 4y = 2e-34 Y(t) = […

A:

Q: 3. Show that y = 5x2 +2 is a solution to the DE ry' +y" = 2y.

A:

Q: findthe solutionof the differenta eqration- dy 2X+y-) X 4X+2Y+5

A:

Q: Solve for x: 4(x-5) =D9y 8. %3D x = [?]y + [ ]

A:

Q: Solve for A y and dy if y = f (x) = -3x + 2x2 – 3x +5 %3D and

A: Given that: y=f(x)  =-3x3+2x2-3x+5

Q: Use the method of variation of parameters to solve y" – 4y +4y = 2e". %3D -

A:

Q: Solve 5y'" – 28y' + 15y = 0, y(0) = - 4, y'(0) = – 24.4 %3D y(t) =

A: Given: 5y''-28y'+15y=0, y(0)= -4, y'(0)= -24.4

Q: dz Find at (2, -2, 1) if x² + y? + z2 6xz + 6yz + 21

A: Given equation is x2+y2+z2=6xz+6yz+21 We have to find ∂z∂y at 2,-2,1

Q: Use Variation of Parameters to obtain the General Solution 1. y +4y 4-sx2x

A: Solve the given problem.

Q: Find the general solution of (1) y′′+4y=8tant−π/2<t<π/2.

A:

Q: Solve y+2+ 2yn++Y =n with Yo 0 = y,.

A:

Q: 1. x = y =. M 31 L5y9

A: Triangle properties

Q: 3. S(3Vx + dx 2 (x+3) + C

A: Topic = Integration As per guidelines , At a time only one question can be answered out of different…

Q: Solve: dz + 4x = yº O 11r¹y+y¹¹ = C O 1lry - y¹¹ = C O 11xy + y = C O 11x¹y - y¹ = C

A:

Q: 5- Find the particular solution for: 2e2x – y = xy', x = 1 when y = 6 %3D

A:

Q: Solve y" – 4y' + 6y = 8(t – 3), y(0) = 0, y'(0) = 0. -

A: Use Laplace table.

Q: find dy. xy2 - 4x3/2 - y = 0

A: Given function is xy2-4x32-y=0. To find: dydx. Power rule of differentiation states that:…

Q: VAy 5-y-z 15z dz dz dy 2y2 2-y-

A: SOLUTION-

Q: 3/2 y 3. dydx 3 X

A: A detailed solution is given below

Q: Show complete solution. 6y^2dx-x(2x^3+y)dy=0

A:

Q: what is the solution of equation 2ydx + (2xlogx - xy)dy = 0

A: Given differential equation is. 2ydx+2xlogx-xydy=0

Q: What is the particular solution of 2xyy' = 1+y2 , when x =2, y = 3

A: The given differential equation is solved below in detail.

Q: general

A:

Q: (D + 3D + 2)y = xsin 2x

A:

Q: 41 82x-x2 9V x²+y? dydx =

A:

Q: а a²-x² ху(х + у)dydx 0. x,

A: Integration of function expression with respect to variable x or y gives the area under function…

Q: 4. Solve and write your solution as a parameter. x – 2y + z = 3 2x-5y +6z = 7 (2x-3y-2z = 5 -

A: The addition or subtraction method of the system of equations is a method to eliminate one variable…