DIFFERENTIAL EQUATION 1. dy+2x²y=2xe* dx 2. az -x²cosy-w ay 3. ax² d'x d'x\/d³x dt dtª dt³ +X=t 4. 13/4 √√₁. (X²)² - [ COS X + (x²)* "* 5. x sin(1+ y)= 3y (4-x²) TYPE ORDER DEGREE LINEARITY DEPENDENT INDEPENDENT VARIABLE VARIABLE

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: x +y = x³ /y X-

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Q: For each of the following differential equations, draw a slope field on a grid like the one below…

A: The given differential equation is dydx=xy. To draw a slope field for the given differential…

Q: (4D58D4 17D³ + 12D² +9D)y = 0 -

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Q: Solve the following differential equation by using integrating factors. xy=9y-8x²

A: xy' =9y-8x2A first order linear ODE has the form of y'x+pxy=qxRewrite in the form of a first order…

Q: 2. du dt = eat + au =

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Q: 2xydx – V x² + y²dy = 0

A: The solution is given as

Q: to

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Q: Find the differential equation that corresponds to the following solution. s = c1 e-3t + c2 e Sint +…

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Q: H.w Solve the following Differential equations: = 2yž-2y dx II

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Q: Find the general solution of each of the following differential equations: LINEAR DE dx 4х = y5 dy у

A: For the differential equation of the form, dxdy+p(y)x=q(y) , the integrating factor, μ(y) is defined…

Q: Identify the type of differential equation (noting the best way to solve them): xy + y = =/=/2 y²

A: The given differential equation is xy'+y=1y2 We have to identify the type of given differential…

Q: QA: Solve the following differential equation: ² + 3 + 2y = 10e³x + 4x² dx² dx

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Q: dy dx + 2y = x³e-2x

A: The given differential equation is: dydx+2y=x3e-2x

Q: dy - 3y = 0 5. dx

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Q: Find the differential equation of the family of circles touching the coordinate axes in quadrant IV.

A: The equation of the circle is (x-a)2+(y-a)2=a2     →    eqn 1 The coordinate of the circle touching…

Q: dy - 2y = x³ cosec 2x dx

A: To solve the below differential equation. xdydx−2y=x3csc2x

Q: a.) 4xy" +3x³y'-7x = sin(2x)e²x dy dx b.) 5xy+3 = 2e¹¹ N

A: A differential equation is said to be linear if  (1) every dependent variable (i.e y) and every…

Q: D6 tan x+In yd - tan xdy =0

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Q: A. Find the solution of the following differential equations. b4y=5x

A: This is a question of DE.