Solve for y. y' = 7x + xy​; y = - 4 when x = 0

Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

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Q: Solve dy/dx+1 =ex+y

A: It is a differential equation in form of changable in varibale sepration. So by using this method we…

Q: Find the 1st derivative: Complete Solution.  y=2cos2 t/2

A: y=2cos2 t/2

Q: Solve the differential equation using variation of parameters. d’y +y= sec³(x) dx

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Q: and dr= %3D Solve for the differential of y When y=sinxx x

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Q: Solve the differential equation where y = 8 when = 0. y + 3y x + 3 = (x+3)8

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Q: Solve for the differential of y when y=sinzx, x=-, and dx=- 3 2

A: Pi/4

Q: 35. (2v3 3)dx + 3xv²dv = 0 – x

A: Given that: (2y3-x3)dx+3xy2dy=0     NOTE: As per our answering guidelines, we can only answer 1…

Q: 2. x' + - y3 = 1, D2y 3

A: Given :

Q: Solve the differential equation by variation of parameters. y′′ + 3y′ + 2y = (1/9+ex)

A: Step:-1 To find solution of differential equation y''+Py'+Qy=R using variation of parameters, first…

Q: 4. y +2xy = x+y

A: Given:- y2+2xy=x+y To find:- First and second derivative of given implicit function

Q: After t hours, the percentage of alcohol in the blood decays according to the differential equation…

A: After time t=9.555 hours....they can legally drive...for detail solution...go through the solution

Q: Solve for the first, second, and third derivatives of y = 1/(4 + x) and then find a formula for its…

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Q: 3. (2xy-x+2y- 1) dx +(4x²y² - x² + 4xy²-x) dy = 0

A: See answer below.

Q: y" – y' = sint Solve the general solution of the differential equation by the method of change of…

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Q: Solve this non-homogenous differential equation using variation of parameter: (D2+1)y = sec3(x

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Q: Solve 3e* tan y dx+(1-e*)sec² y dy = 0.

A: To solve the given differenrial equation.

Q: For y=ln2x, determine the equation of a tangent line parallel to 2x-3y+1=0

A: here we find the equation of a tangent which is parallel to 2x-3y+1=0. y=mx+c slope = m.

Q: 10. Solve the differential equation by variation of parameters y" + 9y = 9 sec²(3x)

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Q: Find the approximate height of the curve y = x3 – 2x2 + 7 at the point where x = 2.98. (SOLVE BY…

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Q: Solve for homogenous differential equation (x + y)dx + 2xdy = 0

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Q: If the rate of change in the microwave rays M(x), where x is the distance, decreases with a rate…

A: This question is about application of differential equation

Q: If the number of fruit flies F increases at a rate that is proportional to the number of flies…

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Q: Solve the differential equation by variation of parameters. 4y" – y = ex/2 + 4 y(x) =

A: We have to solve the differential equation

Q: √2xy dy/dx =1, given y=1 when x=1

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Q: Solve the initial value problem y′+ysinx=sinx and y(π/2)=1

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Q: Solve for the differential of y when y=sinxx• x=-. and dx= 3 4 2

A: i am going to solve the given problem by using some simple calculus to get the required result.

Q: 3. Solve xy" – y' – 4x' = 8x' sin x² with change of independent variable method 4. Solve *+…

A: We are entitled to solve only one question at a time. In the question , the third term has to be…

Q: 3. y" + y = sin x

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Q: Solve dy/dx +1= ex+y

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Q: solve the first and second derivative of Y= (1+lnx)  /  x

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: 6.) y' + (4/x) y- (x')ly) =0

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Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

Q: Solve differential equation by variation of parameters y"+9y = sin?(3x)

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Q: Solve dy : dx y In y

A: We solve the given problem by substitution

Q: Find the equation of the line tangent to y = x2 – 3x – 5 and parallel to the line y = 3x – 2.…

A: Explanation of the answer is as follows

Q: Solve for the differential of y when y=sinxx: x=-, and dx 3 2 2 2 4

A: y=sinπx, x=13, dx=12

Q: Solve dy/dx+1=ex+y

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Q: If xy+2e^y=2e, find the value of y’’ (second derivative) at the point where x=0

A: Sol:       Given xy+2ey=2e                                   -1                   a+x=0,…

Q: Find (dy/dx) if y²-x?- sinxy =0

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Q: Solve for the differential of y when y=sinzx, 1 x=-, and dx =-. 3 2

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Q: Solve dy/dx=tan2(x+y

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Q: solve for Differential Equation y(x2+2)dx - (x2-x)dy = 0 when x= sqrt 3 and  y= 1/3

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Q: 2. y(2x+y° 5. dx 3. 2x

A: We have to solve

Q: aur + 2xyury + y*uyy = 0

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Q: en differential equation by undetermined coef y = x²ex + + 3

A: Given : The differential equation y''-y=x2ex+3. The objective is to solve the given differential…

Q: Solve for the differential of y when y=sinx, x=–, and dx =-. 3

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Q: 5. Implicitly differentiate the equation (xy)-y=x to find dx

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Q: DIFFERENTIAL EQUATION 2ydx = 3xy² dx+ xdy Whenx = 2, y = -2

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Q: y = (3x + 4)², solve for y' using derivative of nth power.

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