Solve the following differential equations (a) 3d²y d'y dy dy 2y = 0 + 5.x- + 2x- dr3 12 dr? d.r

Q: Find the particular solution of the following second order differential equation dy dy -2-15y =…

A:

Q: (3y-2x)dx-(2y-x)dy = 0;when x = 1, y = 2 %3D

A:

Q: dy --3x'y %3D dx

A:

Q: Solve the following higher order differential equations using auxiliary equation with distinct…

A:

Q: Solve the following differential equations properly 12. xydy – (1+ 2y² + y*)dx = 0; when x = 1,y = 0

A: The given equation is: xydy-1+2y2+y4dx=0 The given condition is: When x=1,y=0

Q: Solve the following differential equation:   y′′+9y=0; y=3,y′=3 at x=π/3

A: Given y''+9y=0; y=0, y'=3 at x=π3 To find the Solution:

Q: Give the General Solution of the following Differential Equation 1. (ex-y)(e²y + 1)¹/2 dx = dy

A: We have to find the general solution of differential equation

Q: Solve the following Differential equations. 3. (x-2y) dx + ( 2x+y) dy = 0

A:

Q: (x²+4)³?dy + (y° Jy-4 )dx = 0

A:

Q: dy 3. (x? + ху) — ху — у?

A:

Q: Solve the following differential equations.  x y (dx-dy) = x^2dy + y^2dx; when x = 2, y = 0

A: Let's find.

Q: SOLVE the following DIFFERENTIAL EQUATIONS. 3y(x2 – 1)dx + (x3 + 8y – 3x) dy = 0

A:

Q: Solve for the function that will satisfy the given Bernoulli Differential equations: dy/dx + (1/x)y…

A:

Q: Solve the following differential equation. (1+x*)dy + x(1+ 4y°)dr = 0, y(1) = 0

A:

Q: Solve the following first order ordinary differential equation. (a) 2y' = 2x2 - 6x²y where y(0) = 1…

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

Q: Solve for the general solution of the following differential equations using FOLDE or FOBDE. dy =…

A:

Q: Obtain the solution of the following differential equations. 1. 2x(y+ 1) dx – ydy = 0 ; when x = 0,…

A:

Q: Solve the following differential equations. 1) xyy' =1+ y°, when x = 2, y= 3 2) 2y dx = 3x dy,…

A:

Q: Solve the following differential equation: (3x + 2y + 3)dx + (2x + 4y +1)dy = 0

A:

Q: d4x + 3 dy4 d3x d²x 15 dy2 dx 32 dy 12x %3D dy3

A: The given homogenous differential equation is: 2d4xdy4+3d3xdy3-15d2xdy2-32dxdy-12x=0...(1)

Q: Solve the following differential equations by linear method. dy + 2.xy = 0 dx 6.26. у - 3xу %3D0…

A:

Q: 8. (Зх — у — 1) dx + (9х — Зу + 4) dy %3D0

A:

Q: 7. (1+x*)dy + x(1+ 4y°)dx =0

A: We solve question no. 7n, because in 6 statement not corect one extra (+) showing in…

Q: (i) dy ry dr (ii) dy 2y + (x + 1)³ . dr x +1

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

Q: Solve the following differential equations. dy dx - 6 xy = x. 1) 2) d²y dx² +2 dy dx +2=0

A: To solve the given differential equations.

Q: Solve the following differential equations of Dyy = 2 y-x; 2- yy+ %3D

A:

Q: Solve the following differential equation: (3x + 2y + 3)dx + (2x + 4y + 1)dy = 0

A:

Q: Solve the following differential equations of 1- ye** . dy = dx; dy 2-- %3(1+ y*)e* dx m dy…

A:

Q: Solve the following differential equations. 1. y' = (y – 8x) 2 3 2. (iay - y cos xy – 4x) dx + - x…

A:

Q: Solve the following differential equations. (x + 2y – 1)dx + (2x + 4y – 3)dy = 0

A:

Q: Solve the following differential equations (x+ 1)dy – 2(y +x + 1)dx = 0; when x = 1, y = 4

A:

Q: (4x³y – 15x² – y )dx +(x* +3y² – x)dy=0 — ydx + (x ++ ху jdy 3D 0

A:

Q: Solve the following differential equation (3xy3 + 4y)dx + (3x²y² + 2x)dy = 0; when x = 1, y = 1

A:

Q: 2. Solve the Second order differential equation d y dy 4+11 y = e“ sin 4x. dx

A: Given differential equation, d2ydx2-4dydx+11y=e-2xsin4x This can be written as D2-4D+11y=e-2xsin4x

Q: (x – 3y + 3)dx + (3x + y + 9)dy = 0

A:

Q: I. Solve the following manually using separable differential equations method. dy 2y 1.- dx

A:

Q: dy ューリ +xーyx +x² ス

A:

Q: Solve the following first order differential equation using Linear method ty' + 2y = t²-t+1 y(1) = 2

A:

Q: 3 dy + 3² = 2x*y* dx 4

A:

Q: Obtain the solution of the following differential equations. 1. 2x(y+ 1) dx – ydy = 0 ; when x = 0,y…

A: We can solve the given problem using concept of differential equation. According to bartleby…

Q: a) # - y(0) = 0 %3! 2y+cos y b) r²y + ry = 1 r>0 y(1) = 2

A:

Q: Solve the following differential equations properly. 1. (y²-xy)dx + (x²-xy)dy = 0

A: Topic:- solution of differential equations  Note :- as per our guideline if more than one question…

Q: Solve the following differential equation: d²y dy +x÷+y= 4sin (In(x)) dx dx²

A: Use cauchy legendre equation for direct  solution

Q: У(у + 2х — 2)dх — 2(х + у)dy %3D 0 -

A: The solution is given as

Q: Obtain the solution of the following differential equations. 5. (1 − xy)^−2 dx + [y^2 + x^2(1 −…

A:

Q: dy 8.- dx = 0 Vx In 2x ' y² In y

A:

Q: Solve for the general solution of the following differential equations. 1. (y^+2y)dx +…

A: Solution: As per our guideline we are supposed to answer only one question.

Q: Solve the following first order differential equation: dy y² +49 +3 35 4 x² + 2x³-3x² dx == 0 given…

A: Differential equation: 35x4+2x3-3x2·dydx-y2+49x3=0