dy Find the general solution of dx + 2xy C. y = 2 + Cex* D. y = 2 - Ce*² = 4x A. y = 2 + Ce¯x? B. y = 3 - Ce-x

Q: SHOW THE SOLUTION OF: 25 - 2xy dy CHOICES: A.) y = x'(x+c) B.) y = x(x+c)? C.) y = x(x+c) D.) y =…

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Q: Which of the following is the particular solution to the DE y(9x – 2y)dx – x(6x – y)dy = 0; y(1) =…

A: Given differential equation is y9x-2ydx-x6x-ydy=0 and y1=1 Given differential can be written as:…

Q: " Show that the substitution JAx + B| = 'e², or z = In |Ax + BỊ, will reduce the equation dy a(Ax +…

A: I have used the given substitutions to reduce the equation

Q: 47. Solve for the general solution of (5x+3y-4) dx+(x+y-2) dy=0. a. 5x2 + 4xy + y? = C b. 4x? + 5xy…

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Q: dy dy The general solution to +2- de 4y = 0 is da?

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Q: Let y(x) be the solution for the DE : y' = (x + y – 1)² If y(0) = 1, then find y()

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Q: (2xy tx?+x*) dx - (Itx²) dy=D0

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Q: 1 d?y X = 3 ; y = u3 + 3u dx?

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Q: 5. Find the general solution of (6x – 7y) dx – 14xy dy = 0 А. x(2x + 7y?) %3D с В. У(2x? + 7y?) %3D…

A: Given that: (6x2-7y2)dx-14xydy=0

Q: d³y d²y, dy 4- + + 26 = x3 – 3 dx3 dx² dx

A: given differential equation isd3ydx3-4d2ydx2+dydx+26=x3-3for complemantry solution of given…

Q: Determine the solution for this DE 2xy dx - (3xy +2y^2)dy = 0

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Q: Find the general solution of the D.E. y(2y+ 4x – 2)dx – 2(x+ y)dy = 0. a. 2xy + y? = ce-3* c. 2xy +…

A: Use integrating factor method

Q: The general solution of dy 4 x - 4 y? =y*e' dx

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Q: Find the general solution: (3x + 2y +7)dx + (2x -y)dy =0- O A. 3x2 + 4xy-y? + 14x +7= C O B. x2 +…

A: Find the general solution of the equation  (3x+2y+7)dx + (2x-y)dy = 0

Q: Given that d²y 2. +y =0. dx2 Show that y = x is not Solution a

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Q: Find the complete solution of the following D.E. d³y dy? dx2 dy - 85y = x2 + 16 e* 4- + 12 | dx3 dx

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Q: 4. ß (ß+ 30 +2) d0 + (oß +0²+0)dp =o

A: Let us consider the differential equation M dx+Ndy=0 The differential equation is said to be exact…

Q: The particular solution (when x = 1, y = 0) of %3D X 4 dx + x e* - 4+ y cosy |dy = 0 Уе + xе* + 6- -…

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Q: D (ax ay +4)dxt6x= Qy=22dy=0 2).

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Q: Find the general solution of (ye – 2y³) dx+ (xe А. еxу + 2хy3 - у? %3D С В. е — 2ху3 - у? %3D с 6xy2…

A: We have to solve the problem

Q: dy The solution of (1 – x²) + ху %3 ах is dx (A) y = a + c v1-x* c Vi-x² (B) y = a - c v1-x² (C)…

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Q: Find the general solution of (2xy – 3x²)dx + (x² +y)dy = 0 - 2x?y + y? + x3 = C x?y + y? – x3 = C…

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

Q: Let y(x) be the solution for the DE: y (x + y +2)² If y(0) = -2, then find y() 7- 3 4 2+ O 8 JTO 3…

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Q: dy solve for the general solution : = (-5x + y)² – 4 dx Select the correct response: 3(1 — севг) a y…

A: We have to find the integral of the above function.

Q: dy Find the general solution for: -6y dx Select one: O y=C.e¯z О у y = C. e-6x O y = e-6x O None. O…

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Q: d?y Which of the following is the general solution to + 3. dx dy 10y = 0? dx2 -2х -5х D- C,e-2 +…

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Q: 7. Find the general solution of (ve – 2y³) dx + (xe® – 6xy² – 2y) cy = 0 exy + 2xy + y? = C exy -…

A: Topic:- differential equations

Q: - The particular solution (when x = 1, y 0) of cosy xe + 6^-4 dx- y dy 0 4+ has the form Ae* + Bx? +…

A: We will find out the required values.

Q: dy The general solution to 6. da? dy -y = 0 is_. da y = cje 3* + C2e Oy = cie-3z + cze2a y = C1e +…

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

Q: Given (x? + 6y? ) dx - 4xdy = 0, whenx = 1, y = 1. Find the particular solution. O a. y? x? = 2(3x…

A: Note: Looking at the options there is a typing mistake in the question. It should be:

Q: dy The general solution to 6- dz? +2 - y = 0 is dz Oy = Ge3 +cze 1 y = c1e 3* + c2e O y = cje 3 +…

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Q: Give the general solution to -y + 2 ху a) Os = + Cx² b) Oy =x+Cx? c) Oy = 7x o or - d) Oyl x² + Cx-…

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Q: dy 1. Find the general solution of + 2xy = 4x dx A. y = 2 + Ce x² B. y = 3 - Ce-x2 y = 2 + Cex? D. y…

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Q: dy If y = e", then = nen-1 dx A) True B) False

A: Let's find.

Q: Solve the diferential eguation with discasfssic Of soaL (4xy-y2) dx +(2x? - 2 xy + 2y?) dy=o

A: Given the differential equation is 4xy-y2dx+2x2-2xy+2y2dy=0 This is form exact differential equation…

Q: 2nd-) When h=1, which of the following is the solution of the integral ſe*dx by the Trapezoid…

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Q: Find the general solution. dy_ y _ x+y dx X-1 O a. y= cx?- x+1 O b. y= cx?- x(c+ 1) O c. y= cx?- x-1…

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Q: 7. Find the general solution of (vey – 2y³) dx + (xe – 6xy2 – 2y) dy = 0 A. e*Y + 2xy - y? = C B. ey…

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Q: Find the complete solution of dy + ydæ = 2ry e" da 01= ye" (C- z) 01=yle(C-') O1= ye" (C + z*)…

A: we have to find the solution of  given differential equation.

Q: Given (x + 6y? ) dx - 4xdy = 0, when x = 1, y = 1. Find the particular solution.

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Q: ye'xdx (4 + e?x)dy

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Q: Evaluate by Exact D.E. (2xy – 3x²) dx + (x² + y)dy = ( Oc= =y+x² + % 2 Oc = x²y – x³ + y? %3D 2 Oc =…

A: Given diff. eqn. is  2xy-3x2dx+x2+ydy=0

Q: the general solution of DE x2 dy/dx=4x2+7xy+2y2

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Q: The particular solution (when x = 1, y = 0) of уe* + xе* + 6——4 |dx + х еx — 4 + y cosy dy = 0 has…

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Q: What is the general solution of xydx (a? + 3y²) dy = 0 ? - + 6y? In y = Cy² 6ylny = cy? O 2? 6y? In…

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Q: dy What is the particular solution of x2 y? 2; y= 1 2xy when x dr

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Q: The solution to (2x – 4y – 3)dy = (x – 2y)dx is: %3D а. 6у—х? — 4ху + 4y? %3D с c. 6y +x? + 4xy+ 4y?…

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Q: Find the general solution of d'y, d?y dy - 4 4y = 6e-* + 8x + 8 dx3 dx2 dx

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Q: dy Given the DE 6y? x , the general solution can be expressed as; dx 12x2 + C O 1 3x2 + C 3x2 + C -…

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