Q3/ Determine the particular solution of the equation 4-3=9 given the boundary conditions the dx x = 0, y = 0 and 0 dx

Q: dy Q2) Solve x- 2y = x³ tan 2x dx

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Q: Identify the first order DE and show the solution for (x-x^3ye^-2y)dy-dx=0

A: Given the differential equation

Q: 2 [(3 sec2 x + - x)dx 4

A: Integrate

Q: y = 5t2 - 2t + 4 -'(t) =

A: The given function is y=t25t2-2t+4. We have to find the derivative of the given function. The…

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

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Q: Check whether the given first order linear diff equation is homogenous or exact or separable or none…

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Q: Use a suitable method  to find the solution of (1-x^2)(1-y)dx=xy(1+y)dy

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Q: dy general solution of 25 dx - - y secx = y³ tanx

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Q: 2- Solution of the following function {(dy/dx)-(cotx) y=(csc x)y³ }

A: The differential equation is given as dydx-(cot x)y = (csc x)y31y3dydx-1y2cot x = csc x…

Q: Solve this equation dy_3-x-y dx x+y-l by using an appropriate substitution

A: The given differential equation is; dy/dx = (3-x-y) /(x+y-1)

Q: Find the slope of the graph of the equation at the given point. (If an answer is undefined, enter…

A: we have been given the slope of the equation xy=x-2y,at (4,1) it can be written as  xy=x-2y

Q: Use the exact techniques to determine the solution to (2y? + 2y + 4x2)dr + (2ry + x)dy = 0.

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Q: 2 dy - y? + 6y = 13 dx

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Q: Which of the following equation is a variable separable DE? a. (x + x^2y) dy = (2x + xy^2) dx b. (x…

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Q: Q9// find the general solution (sec³x + (cotx)y)dx + (Insinx)dy = 0

A: Answer and explanation is given below...

Q: Find the solution. (dy/dx) + xy = xy³ A x = (ce-²-1) By = (ce²+1) 7² y = (ce x²-1) x = (ce)² + 1) ²…

A: We have given a differential equation ,  dydx + xy = xy3 Multiply throughout by dx ,  dy + xy dx =…

Q: when the parameter is eliminated from the equations x=t/2, y=t^3-4x+1 the resulting equation

A: The parametric equations are the group of equations with one or more variables having one common…

Q: Determine the general solution of y" + y = tanx using variation of parameters

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Q: Q8// find the general solution (tan-'x + (cotx)y)dx + (lnsinx)dy = 0

A: The differential equation is given as (tan-1x+(cotx)y)dx+(ln sinx)dy=0 Compare it with Mdx+Ndy=0…

Q: find explicit solution: x^2 dy/dx =y-xy       y(-1)=-4

A: Given differential equation is                                       here we can easily separate the…

Q: Classify and Solve the following x(dy/dx) + 4y = (x^4)(y^2) subject to y(1) = 1

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