9. Find the general solution of (2xy - y+ y) dx + (3x- 4xy + 3x) dy = 0 A. x²y(x - y + 1) = C В. ху (х - у + 1) %3D с С. ху(х - у + 1) %3D с D. x'y (x - y + 1) = C

Q: ƏM 3. In the differential equation (y -x -4x–1dy+2y(x+ y+ 2)dx =0, 4. In the differential equation…

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Q: Q3 /Write Only the (Order and Degree) of the following differential equations a) (d'y/dx')24 -…

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Q: 1. Find the general solution of: du dx _ _ y + xy² + x³ x+x²y+y² dy

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Q: 8. Solve the given initial value problem. dx = 3x +y- e 3t. x(0) = 2 dt dy = 4x + 3y; dt y(0) = - 5…

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Q: Find the general solution of the differential equation (x + 2y – 1)dx- (x + 2y – 5)dy = 0 using…

A: The given equation is (x+2y-1)dx-(x+2y-5)dy=0.

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: 3. Get the general solution of the differential equation (x+2y-4)dx- (2x+y-5)dy%3D0, А. (х — у + 1)3…

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Q: Solve the second order differential equation y + 2y = 3 cos 2x A:y = c, cos(vZx) + cz sin(vZx) +…

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Q: 1. Find a complete, general, implicit solution of the homogeneous equation. dy x(x+ y)=y(x- y) dx

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Q: 3. Get the general solution of the differential equation (x+2y-4)dx-(2x+y-5)dy%3D0. A. (x - y + 1) =…

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Q: Obtain the solution of the following differential equations. 3. (16x + 5y)dx + (3x + y)dy = 0 ; the…

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Q: What is the general solution of the differential equation (y - 2ry + 6 ) dr (2 – 2ay + 2) dy? - O…

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Q: 2. The differential equation (4x'y -6xy-2x-3dx + (2x*y – 2.x' kdy = 0 is exact because ƏM ON dy

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Q: 2.2 Find the solution of the differential equation d'x dx + + 3z + 8x dt dz %3D dt? dt

A: Given: d2xdt2+dxdt+8x=dzdt+3z

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Q: Determine the solution of the differential equation y' = 2y + x2 + 5 1 1 X- 2 11 -2 X' 2 + Ce-2x а.…

A: Given: y' = 2y+x2+5 dydx-2y=x2+5   Linear differential equation is of the form dydx+Py= Q, where P…

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Q: Show that y = 3x et +e-3x is a solution of the differential equation y' + 3y = 3ex. 4 y = 2ex + e-3x…

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Q: 27. The particular solution of the differential equation x^2 dx - (y+1) dy = 0 if at x=1, y=0 is -…

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Q: 19. The particular solution of the differential equation x^2 dx - (y+1) dy = 0 if y(0)=1 is - O 3y^2…

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Q: 6. What is the general solution of the following differential a²ycdy d²y dx2 dy equation -5 +4y=0)(4…

A: Given differential equations are, d2ydx2-5dydx+4y=04d2ydx2+6dydx+2y=0 Solve the equation by solving…

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Q: 24. The solution to the differential equation 3x dy - 2y dx = 4yx^3dy is _. y^3 = x^2 y^4 + cx^3 O…

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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: Using the substitution y = vx and dy = v dx+ x dv, the differential equation with homogeneous…

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Q: Obtain the solution of the following differential equations. 1. 3x²ydx + (y* – x³)dy = 0 2. y(x2 +…

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Q: 4. Find the solution of (x²+6y²)dx – 4xydy=0 when x=1, y=1. Use Substitution Method.

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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: What is the particular solution to the differential equation x(x³ – xy² + 2y³)dy – y(x³ + 2y³)dx = 0…

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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: Find an explicit solution of the given initial-value problem. x2 dy = y - %3D у — ху, у(-1) %3D -1…

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Q: The differential equation (y + 6xy) dx + (3y² + 12x?y) dy = 0 is O Exact with solution 32 y? 6zy5 +…

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Q: 2:- A. Solve the following differential equations using variation of parameter Method: Mads) d²y 1.…

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Q: (1-xy)^-2dx+[y^2+x^2(1-xy)^2]dy=0

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

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Q: Suppose a differential equation is in the form of yf(x,y)dx +xg(x, y)dy = 0. If the differential…

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Q: 2. Find the particular solution of Vx2 + y2 )dx – x dy = 0 ; y = 1 when x V3. -

A: Given differential equations homogeneous differential equation of first order we will do the…

Q: 7. The general solution of the differential equation x^2 dx - (y+1) dy = 0 is O zy^2 + 3y - 6x^3 = C…

A: Topic:- application of integration  Note:- as per our guideline if more than one question uploaded…

Q: Obtain the general solution of the following differential equations. 4. x(x² + y*)*(ydx -xdy)+y°dy =…

A: We have given differential equation ,  xx2 + y22ydx - xdy + y6dy = 0 Clearly , this is homogenous…

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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: 3. Find the solution of the initial-value problem d'y_3dy +2y=e* dx y(0)=1, y'(0) = 0 dx Using…

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Q: 1.) Obtain the general solution of the differential equation. (1 – xy)~²dx + [y²+ x²(1 – xy)-²]dy =…

A: First we check if the equation is exact then solve the ode.