Find the general solution of (ye – 2y³) dx+ (xe А. еxу + 2хy3 - у? %3D С В. е — 2ху3 - у? %3D с 6xy2 – 2y) dy = 0 C. exy + 2xy³ + y? = C D. e* — 2хy3+ у? %3D с

Q: The differential equationy2y - v3 Y* -o after using substitution y=vx will convert into separable…

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Q: Find the general solution of x(x + 3)dy = 2dy + √(9- y²)(12x + 9 + 4x²) dx.

A: We will separate variables and then will integrate it to find general solution of given differential…

Q: Find the general solution of the DE (2y – x2) dx + (y+2x) dx=0 А) 2ху + 3 y2 =C 2 (в) 2ху — 3 x3 y2…

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Q: Find a differential equation for y=c1e^9t +c2e^-4t. Oy"+5y'+36y=0 Oy"-5y'-16y=0 Oy"-5y'-36y=0…

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Q: Find the general solution of: y(x°+x*)dx - x(x³+ y-)dy = 0

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Q: Calculate the solution to the differential equ y (y² + 3x²) dx + 2r*dy = 0 O x³ = y² (C – x) x²C = 3…

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Q: 2. Get the general solution of the differential equation (x + 3y - 5)dx + (x + 3y + 10) dy = 0. (10…

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Q: What is the general solution of the differential equ dy 2a/y-1 ? dr 22 - Vy-1 = C 22 - In Vy- 1 = C…

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Q: 2. Find the general solution to d²y dz² dy + 3y = e* dr

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Q: Determine the General Solution of ye2x dx = ( 4+e2x %3D ) dy

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Q: ye2xdx ye2x. (4 + e2x)dy

A: The given equation is ye2xdx=4+e2xdy The given differential equation can be solved by converting it…

Q: Determine which of the functions are the solutions of the differential equation: 2y*+x* dy %3D dx…

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Q: В. NON-HOMOGENEOUS HIGHER ORDERED LDE 1. (D3 + 5D² + 3D - 9)y = 64x²e-3x 2. (D³ + 13D - 34)y = 25x2…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Solve the ff. differential equations by applying the appropriate substitution. dy = 2+y-2x+3 1) dx…

A: Since, you have asked multiple questions as per company guidelines, we will solve the first question…

Q: With procedure, Choose the differential equation that corresponds to the solution y = C₁e6x + ₂xе6x…

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Q: Obtain general solution of the D.E. y' + (1/3)y = e*yª A 1/y³ = e* (c – 3y) B 1/y³ = e* (c – 3x) с)…

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Q: value of c in the equation: dV/dt = -500 (t+1)-2, when  V=700and t=0 is

A: follow next step

Q: 5. Find the general solution of (x +y +1) dx +(x - 3y - 7) dy = 0 x2 - A. x2 + 3y? + 2xy + 2x - 14y…

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Q: Obtain the solution to the differential equation: (3x²y² + 2y³)dx + (2x³y + 6xy²)dy = 0 x³y² + 2xy³…

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Q: yp given that yc = c1e6x + c2 xe6x if the differential equation is: y'' -12y' + 36y = x3 -3x2 + 9x…

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Q: Determine the total solution of the differential equation (D2+5D+6)y=6e(-3x)-100e2x O A. y =…

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Q: 2. Get the general solution of the differential equation (x + 3y – 5)dx + (x + 3y + 10) dy = 0. pts)…

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Q: The differential equation of y = 24Be by eliminating the arbitrary constant B is 8y %3D 192y | dy dz…

A: Differential equation  y= 24B e^8x The equations to eliminate B. ?

Q: What is the general solution of ху(ху5 - 1) dx + х?(1+ ху)dy3D0 ? A 2x3y5-3x² = cy? B 2x°y3 - 3x2 =…

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Q: 9. Find the general solution of y(2x + y²)dx + x(y² – x)dy = 0

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Q: Solve for the general solution * (4xy+3y – x) dx + x (x + 2y) dy = 0 x' (4xy² + 4y – x) = c x²…

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Q: 3. Obtain the general solution of: (x – y)(4x + y) dx + x(5x – y) dy = 0

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Q: What is the solution of (xy? – x) dx + (a²y + y) dy = 0 when x = 0 and y = 3 %3D O (22 - 1) (y² – 1)…

A: Exact differential equations.

Q: Determine the total solution of the differential equation (D²+8D+16)y = 64cos4x. OA.y = C₁e(-4x) +…

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Q: What is the general solution of the following differential solution? y" – 2y – 15y = -5e² O cjet +…

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Q: 7. Find the general solution of (ye" - 2y) dx + (xe" - 6xy - 2y) dy = 0 A. ey + 2xy3 - y? = C B. ey…

A: As we know that; The differential equation Mdx+Ndy=0 is said to be exact, if ∂M∂y=∂N∂x. The solution…

Q: Solve the equation. 3x²y¯1 )dx + (2 – 4x°y¯2)dy = 0 :- An implicit solution in the form F(x,y) = C…

A: We have given 3x2y-1dx+2-4x3y-2dy=0 If we take M=3x2y-1 and N=2-4x3y-2 Then, ∂M∂y=-3x2y-2 and…

Q: 2. Get the general solution of the differential equation (+3y-5)dx + 3y+ 10) dy = 0. pts) А. бх — бу…

A: Find the general solution

Q: What is the differential equation whose solution represents the family y = Ae3x + Bxe3X+Ce4x? O…

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Q: Give the general solution of the differential equation y"+2y'- 3y =x+x 97 29 a) O y-C, e' + C, e 3*+…

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Q: What is the general solution of (D³ + 12D³ + 36D) y = 0 ? Oy = (C1 + C3x) cos 6x + (C2 + C4x) sin 6x…

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Q: What is the differential equation of the solution y = C1e 9¤ + C2xe Ya -9x + C3e7¤ ? O y" + 11y" –…

A: To find the differential equation for which the given solution belong .

Q: . The differential equation (2x³ – xy² – 2y +3 )dx– (x²y+2x }dy = 0 is exact because ƏM ƏN %3D ôx

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Q: Determine the solution of (2x - 3y + 2)dx + (2x - 3y + 1)dy = 0. a. 10x + 10y + ln(10x - 15y + 8)2…

A: Simply put z= 2x-3y and solve .

Q: Determine the General Solution of ye2x dx = ( 4+e2x ) dy %3D

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Q: 3. Find the general solutions of, dy_x+y dx х-у, а.

A: given differential equation is  dydx=x+yx-y

Q: Solve the Cauchy euler equation dy 3x2 d²y + 6x -6y 3+ Inx3 dy dx3 dx2 dx

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Q: Is 6x+6y+45ln(2x+6y-25)=C is the general solution of the differential equation (x+3y-5)dx +…

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Q: 10. Find the solution of the differential equation (D5 + 8D3 + 16D)y = 0 y = C1 + (C2 + C3x)cos А. y…

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

Q: 2. Find the general solution of d³y dy dy 6- dr3 + 12 dx2 dx 8y = 21e2 -

A: To find- Find the general solution of  d3ydx3 - 6d2ydx2 + 12dydx - 8y = 21e2x

Q: 4. Verify that y=cx+e² +1 is a solution of the equation y=y'x+(y')' +1.

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Q: Solve the general solution of the given DE * dy = (-5x + y)² – 4 dx 3 (1+ ce6x ) 3 (1 – ce6*) y = 5x…

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Q: Solve for the general solution. d³x dx -7. - + 6x = 0 dt3 dt

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