I. II Solve each of the given Ordinary Differential Equations (ODE's) by the method of Separation of Variables: 2 dx (a) y ln x = (x+¹)² dy 2 dy dx (2y+3) (b) 4x+5. Solve the following initial value problems (VRC): =

Q: dy dx -y dx + (x+ /xy) dy =e (x+/xy

A:

Q: 2. Determine whether each of the following equations is exact. If exact, find the solutìon (you may…

A: Given :-  The given equations is exact or not. (a) yexy + 2y - xexyy' =0 (b) 1 + lnxy + xy-1y' =0…

Q: sec2 a tan ydx+ sec? y tan rdy = 0.

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Q: How long will it take to drive 700 km at 100 km per hour, if you take a 1-hour break after every 5…

A: We have to find time taken to drive 700km using given data. We will use formulaes,…

Q: Solve the following ordinary differential equations: 2) (3y³-x) dx = 3xy-dy

A:

Q: According to Newton’s Law of Cooling, the rate of change of the temperature of an objectcan be…

A: Given the differential equation         dTdt=-kT-A which is separable.

Q: dy/dx + v/ Ex tv/

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 4xi4=*

A: Order :-The order of a differential equation is the order of the highest order derivative involved…

Q: x'y = (x + 1)(y + 1) dx

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: a) Solve the following first-order differential equations: ER -y- = 2x, given that when y=0, x=+2

A: The given differential equation is:

Q: Solve the following differential equation: 3 sy 5 dx

A: Solution of differential equation

Q: 3. Solve the following First Order Differential Equation: csc ydx + sec2 xdy = 0

A:

Q: b) Solve the following differential equatión . = 1 + Sin x + 4x dy +2y dx dx

A: According to the given information it is required to solve the differential equation:

Q: Solve the following differential equation: 3ty + y = 12/3 cost, y(1) = 0

A:

Q: dy -y- dx 2x, given that when y=0, x=+2

A: We need to solve the given differential equation with its initial conditions. As the equation is of…

Q: Solve the following differential equations: 1. () + (x −2x*)y'+xx=0

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Q: Solve the following differential equation (√y²+1)dx tan-ly + (xlnx)dy = 0

A:

Q: Q4 A) Solve the following separable differential equation dx = x2 - 2x + 1 dt

A: Let's solve diffrential equation.

Q: IL. Solve the following differential equation by the form of substitution. 1. Dy/dx + y/x = xy

A: