113k views asked in Class XII Maths by nikita74 (1,017 points) Find the general solution of y 2 dx (x 2 xyy 2 )dy = 0 differential equations 95k views asked in Class XII Maths by rahul152 (2,8 points) Find the general solution of (x2y 3) dy/dx = y differential equationsNCERT solutions for Class 12 Maths Chapter 9 Differential Equations Pages 413 414 Q 1 Page 413 For the differential equations find the general solution `dy/dx 2y = sin x` VIEW SOLUTION Q 2 Page 413 For the differential equations find the general solution `dy/dx
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Find the general solution of the differential equation (x-y)dy/dx=x+2y
Find the general solution of the differential equation (x-y)dy/dx=x+2y- x^2y^2=c dy/{dx}=x/y ydy=xdx by exploiting the notation (separation) int ydy=int xdx further exploiting the notation 1/2y^2=1/2x^2d y^2=x^22d x^2y^2=2d x^2y^2=c where c=2d Depending on whether c is positive, negative or zero you get a hyperbola open to the xaxis, open to the y=axis, or a pair of straight lines through the originFind the general solution for the differential equation dy/dx 2y=18e^x ;
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Find general solution to x (dy/dx) 2y = 4x^2 Divide through by x so (dy/dx) 2 (y/x) = 4x Now multiply through by the intergrating factor e^ ( (2/x) dx) = e^ (2ln (x)) = x^2 so you get (x^2) (dy/dx) 2xy = 4 (x^3) Now integrate the entire equation and you get y (x^2) = (4 (x^3))dx = (x^4) c Divide through by (x^2) to get the solve (cosx tany cos (xy))dx (sin x sec 2 ycos (xy))dy=0 differentialequation derivatives asked in CALCULUS by linda ScholarWe cannot separate the variables, so we hope that it is linear It is linear if we can get it in the form then we can solve it by multiplying by the
Answer to Obtain the general solution of {dy} / {dx} = (3 y) x^2 using the variable separable method By signing up, you'll get thousands ofSeparabledifferentialequationcalculator x\frac{dy}{dx}=y^{2} en Related Symbolab blog postsAd by Best Gadget Advice 25 insanely
Dy dx = 3x 4y y 2x SOLUTION Divide numerator and denominator by x, and let v= y x (the equation is a homogeneous equation), therefore y= xvand y0= xv0 v Although we don't need to solve the DE, we should go ahead and separate the variables xv0 v= 3 4v v 2) xv0= 3 4v v(v 2) v 2 = 3 2v v2 v 2) v 2 3 2v v2 dv= 1 x dx 1A differential equation of the form dy dx P (x)y =Q(x)yn d y d x P ( x) y = Q ( x) y n is called Bernoulli's equation It can be reduced to a linear differential equation by substituting u= y1Separable equations can be written in the form dy/dx=f (x)g (y) See how we analyze various differential equations to see if they are separable Finding general solutions using separation of variables Separable equations introduction Addressing treating differentials algebraically Separable differential equations
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The differential equation corresponding to the equation y 2 = a ( b − x 2) where a, b are constants is J & K CET 13 7 If x y = A s i n x B c o s x is the solution of the differential equation x d 2 y d x 2 − 5 a d y d x x y = 0 then the value of a is equal to KEAM 13 8Share It On Facebook Twitter Email 1 Answer 0 votes answered by AbhishekAnand (870k points) selected by Vikash Kumar Best answer Given that, ← PrevGet stepbystep solutions from expert tutors as fast as 1530 minutes Your first 5 questions are on us!
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Dy dx P(x)y = Q(x)yn, where n 6= 1 (the equation is thus nonlinear) To find the solution, change the dependent variable from y to z, where z = y1−n This gives a differential equation in x and z that is linear, and can be solved using the integrating factor method Note Dividing the above standard form by yn gives 1 yn dy dx P(x)y1−nThe general solution of the differential equation dy / dx = x y 1 / 2x 2y 1 is 1) loge 3x 3y 2 3x 6y = C 2) loge 3x 3y 2 3x 6y = C 3) loge 3x 3y 2 3x – 6y = C 4) loge 3x 3y 2 3x – 6y = C Solution (4) loge 3x 3y 2 3x – 6y = C b e g i n a r r a y l t e x t G i v e n f r a c d y d xWhat is the General solution for exact differential equation cosx tany cos(xy) dx sinx sec^2ycos(xy) dy=0 ?
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Find the general solution of (x 2y 3)dy/dx = y differential equations; Stack Exchange network consists of 177 Q&A communities including Stack Overflow, the largest, most trusted online community for developers to learn, share their knowledge, and build their careers Visit Stack ExchangeStep 2 Integrate both sides of the equation ∫dy = ∫2x dx → &int1 dy = &int2x dx → y = x 2 C Example problem #2 Find the general solution for the differential equation dy ⁄ dx = x 2 – 3 Step 1 Use algebra to get the equation into a more familiar form for integration dy ⁄ dx = x 2 – 3→ dy = x 2 – 3 dx Step 2 Integrate both sides of the equation
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Thus, the general solution is given implicitly by the equation x2y2 x3 y4 = C 1636 Verify that the DE (1 ye xy )dx (2yxe xy )dy = 0 is exact, and find its general Show that the differential equation dy/dx = y^2/(xy x^2) is homogeneous and also solve it asked in Mathematics by monuk ( 680k points) differential equationsSimple and best practice solution for (xy)dx(xy)dy=0 equation Check how easy it is, and learn it for the future Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework If it's not what You are looking for type in the equation solver your own equation and let us solve it
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