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Solve the separable differential equation (y2+2)dx+y(x+4)dy=0.
Question 1 (PLO-2,CLO-2,C3)Marks-(12+13 a) Solve the following Differential Equation. (x2 – 3y2)dx + 2xydy = 0 b) Demonstrate whether the given differential equation is exact.If it is exact, Solve it. x+y dx dy = 0 y-1 2 y-1
a) Solve the IVP: (x + y)2dx + (2xy + x2 - 1)dy = 0 ; y(1) = 1 b) Find a continuous solution satisfying the given De subject to initial condition. dy + 2x y = f(x), f(x) = fx, 05x<1 y(0) = 2 dx 10, 821 c) Solve the Bernoulli's equation xy' + y = x²y2
solve for dy/dx: x2 + xy3 - y + y2 = 9
2. Solve the differential equation (2xy + y)dx + (x2 + 3.ry2 – 2y)dy = 0. Answer: x²y + xy3 – y2 = C.
Is 2. An implicit solution of « naf dy _ x2 + 3y2 ; = » du 2xy A. x2 + y2 = x3 + c B. x2 + y2 = Cx3 C. x2 + x3 = y2 + c D. Cx2 = x3 + y2 E. x2 + y2 + xy2 = 0
dy 7. Determine the general solution to : x = x+y dx 8. Solve the DE (x - y)dx +(y – x)dy dy 9. Determine the general solution to : x? + 3xy = dx dy 10. Determine the general solution to : xy = 4x² + y2 dx 1 X
Solve the Separable Differential Equation. dy 1) e6x - 6y dx A) y = 6ln (e6x + C) B) y = 6e6x + C y-In (ex.c) D) y = ln (e6x + C) = 4 cos x sec y A) y = sin (4 sin x + C) C) y=sin-1 (4 cos x + C) B) y = sin-1 (4 sin x + C) D) y = 4 sin x + C
solution for all 4 please In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is. 1. (2xy + cos y) dx + (x2 – x sin y – 2y) dy = 0. 1 dy 2. + cos2 - 2.cy y(y + sin x), y(0) = 1. + y2 dc 3. [2xy cos (2²y) – sin x) dx + x2 cos (x²y) dy = 0. (1+y! x" y® is...
In Problems 1-3, solve the given DE or IVP (Initial-Value Problem). [First, you need to determine what type of DE it is.) 1. (2xy + cos y) dx + (x2 – 2 siny – 2y) dy = 0. 2. + cos2 - 2ary dy dar y(y +sin x), y(0) = 1. 1+ y2 3. [2ry cos (x²y) - sin r) dx + r?cos (r?y) dy = 0. 4. Determine the values of the constants r and s such that (x,y)...