d³y d²y +3. dt3 dy d³x d²x dx -+5+y= + 4. + 6- + 8x dt2 dt di3 dt² dt

Q: d²y dy – 4 + 4y = e2t.t dt2 dt

A: our objective is to solve the differential equation

Q: dy 3)2 + 2x³y = y³x³ dx dy

A: Given: dydx+2x3y=y3x3

Q: Calculate  d2y dx2. y = −6x2 + 5x

A: Given

Q: d³y d'y +5dy ² + y = +3. dt3 dt² dt d³x d²x dx +4 +6 +8x dt³ dt² dt

A:

Q: Suppose x and y are variables satisfy the equation x² -y³ = 12. What is -? dx dy 3x4 (A dx 4y3 dy…

A:

Q: dy = 3y³t2 dt

A: Given differential equation is: dydt=3y3t2 Rearranging the terms we get, dyy3=3t2dt Integrating both…

Q: 5. y-2y+y-6e* d'y dy 6. 2. dx2 +2y e2x d'y dy 7. 2 -2y D4e 3x *

A: 5. givend2y(x)dx2-2dy(x)dx+y(x)=6exThe general solution will be the sum of the complementary…

Q: (2x – y)dx + (4x + y – 6)dy = 0 - C = x + y – 1 C = x – y+1 Option 4 Option 3 C = x – y – 1 %|

A: We are asked to solve the equation and find the value of c

Q: d³y d?y dy = y + 4 а. dx3 dx² dx d³y d²y dy b. dx3 — у+4 сos xх dx dx² d²y_d²y dy С. dx³ —D у+4сos y…

A: As we know that; The standard form of the linear differential equation is:…

Q: d y. d3y dy d'y dy (+() dy + y dt2" dt + b dt dt2 ay dt3 d/dt (5 %3D dt

A: Explained below

Q: 4. (-3x+2y) dy + (-3y + 2x) dx = 0; y(3)=8. Determine y(5).

A: The solution is given in the next step.

Q: dy/dt^2 – 4dy/dt – 5y =0, y(1) =0 ; y’(1) =2

A: Given differential equation d2ydt2-4dydt-5y=0  , y(1)=0 and y'(1)=2

Q: d²y dx² 2 (2x-3)² Find y = O O d²y dx² d²y dx² d²y dx² O d'y dx² = = = = 12 (2x-3)¹ -12 (2x-3)4 48…

A: Given equation is y=22x-32. Find the value of d2ydx2. Here we use the differential formulae:…

Q: d²y dy +2 + 5y = 5t2 dt? dt

A:

Q: 2x°dy = y(2x² + y²)dx

A: Differential equations

Q: d²y dy 2 + 2 - y = 0 dt2 dt ك إضافة ملف

A:

Q: dx = 3x + 2y + 4z dt dy = 2x + 2z dt dz = 4x + 2y + 3z dt

A: Consider the given system of equations, dxdt=3x+2y+4zdydt=2x+2zdzdt=4x+2y+3z In the matrix form it…

Q: d³ y 3 dx3 d²y dy + 3– dx² + 3- + 3y = 0 dx y = C1e¯* + C2etx + C3e¬ix y = Ce-* + (C2 + C3x)e¬ix O…

A: Solution

Q: 5x4y + y² 2x5 + 3xy' - dy dx O x¹y² + xy³ = 48 O x³y² + y³ = 120 о x²y² - y³ 3 = 56 O x³y² - xy³ =…

A:

Q: t2-6t+9 dy 3. y = 2-5t+6' dt (t+1)(t²–1) dw 4. w = t2+2t+1 dt

A: follow next step

Q: (2x + x²y³)dx + (r³y² + 4y³)dy = 0 %3D

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Q: d³x dx 19- + 30 = 0 dt dt3

A:

Q: 3 у 3 (4х + 3) y =(3x* + 4) dy dx 会- dy %3D dx у 3DIN (4x3 + 3) y =e5x* + 4 dy dx dy е %3D dx II II

A: Note: According to the question-answer guidelines the expert suppose to answer the first three parts…

Q: d³y d²y 3 dx3 3 – y = x²e*; y(0) = 1, y'(0) = 2, y"(0) = 3 dy dx2 dx

A:

Q: c. x²dy+ (2x³y – e*)dx = 0 d. (2xy*e" + 2xy3 + y)dx + (x²y*e» – x²y² – 3x)dy = 0 е. 2х?ydx + ydx +…

A: As per guideline we can solve only one question at a time, so if you need more answers kindly repost…

Q: 4. (-3x + 2y) dy + (-3y + 2x) dx = 0; y(3)=8. Determine y(5).

A: Given that -3x+2ydy+-3y+2xdx = 0 where y3 = 8. The objective of the problem is to determine y5. We…

Q: 3x'y*dx + (2a°y + 4y*)dy = 0 Oa²y³ + y* = c Oa'y? + y* = c Oa'y? – y* = c Oa²y³ – y* = c 2.3

A:

Q: dy B) dz3 -6 dy dy + I - dz

A:

Q: 3x²y dx − (x³ + y³)dy = 0,_y(1) = −2 -2

A: See the details solution in below

Q: d³y d²y 4. dx3 dx3 dx -dy + y = 0

A: Consider the given equation. d3ydx3−d2ydx2−dydx+y=0 Now, make the characteristic equation.…

Q: t2 d?y dt2 4t + 6y = t3 + 1 + 6y = t³ + 1 dt

A: Differential equation

Q: d²y dx2 + 4 + 5y = 2e-2", y(0) = 1, y' (0) = -2 dx

A:

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

A:

Q: 5) у%3 е" dy 3x? = e^ · 6x dx А) бх dy B) dx - 6х = 6xe° + 3x2 dy C) dx ,3x? e 6x -1+ 3x? бхе dy D)…

A: apply chain rule of differentiation

Q: S-is dx V.e* S-isdx e -2x dx + C -15% .e -15x ー2x 3 Se =) v e J+ xp -15% ve -17x 3 Se dx +C -172 зе…

A: Simplification by using integration formula of all above solution is given below:- In the following…

Q: d²x = y² + 1 а. y dy2 y (* + - ** + 1 dx, 2 d²x x² + 1 dy² d's d²s С. dy3 dx? () = x² + 1 dp. d. y…

A: An ordinary differential equation is an equation involving only one independent variable

Q: 4y² –7y–12 – , dy + y3-y2-6y dy + dy + dy 5(у-3) 9 5(у+2)

A: Given: ∫124y2-7y-12y3-y2-6ydy=∫1295y+2+2ydy+15y-3dy To find the solution. Solution: We have given,…

Q: d³r dz +t- dt3 (c) 4tx = 0 %3D dt

A: The solution is given as

Q: If xy? + yx2 - 2= 0, then dy/ dx =.... Jika xy2 + yx2 - 2= 0, maka dy/ dx =.... 1. О…

A:

Q: dx 3x + y dy r+3y

A:

Q: 2х + (4x + у - 6)dy/dx -у - (x + 2y + 3)² = c(2x + 2y – 4)². (x + y + 3)? = c(2x +y – 4)** (2x + 2y…

A: The solution is given as

Q: 4. y(x³y³ + 2x² – y)dx + x³(xy³ – 2)dy = 0; when x = 1, y = 1 5. (2у — Зx)dx + xdy 3D 0 .3,,3

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Q: d²y dy +y=1²-2t +3 4- dt? dt

A:

Q: d’y -4 dy +y=t²-2t +3 1. dt? dt

A: The given differential equation is; d2y/dt2 -4dy/dt +y=t2-2t+3. Repost the next part.

Q: dy , Suppose x and y are variables that satisfy the equation x² – y³ = 12. What is dx %3D - dy 3y2…

A:

Q: d²y dy dy %3D 1 2. dx2 6y = 0, when x - 0, y = 2, - %3D dx dx

A:

Q: dy 3. 2 = e3x+2y Ans: 3e-2y + 2e3x = c %3D dx

A: The given differential equation,dydx=e3x+2y

Q: d²y dy -2 +4y dx 2e 2x dx2 x3 an is given hy:

A:

Q: yı=6x2+2x-5 , y(0)=7

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…