This is a linear differential equation, comparing it with ( y)( x)+Py=Qwhere P=tan x, Q=cos xI.F=e^(∫ \ P\ x)=e^(∫ tan x x)=e^(log |sec x|)=sec\ xSolution of the equation is given byy(I.F)=∫ \ Q.(I.F) x+c⇒ y\ sec\ x=∫\ cos\ xsec\ x x+c...
Find the general solution of the following differential equations:(1)(dy)(dx)=5y(2)(dM)(dt)=-2M(3)(dy)(dx)=2y(4)(dP)(dt)=3√P(5)(dQ)(dt)=2Q+3(6)(dQ)(dt)=1(2Q+3) 相关知识点: 试题来源: 解析 (1)y=A^(5x)(2)M=A^(-2t)(3)y^2=4x+c(4)P^(12)=32t+c(5)...
1Find the general solution of the differential equation . Describe the solution curves, and find the equation of the curve which passes through (-4,3). 2Find the general solution of the differential equation . Describe the solution curves, and find the equation of the curve which passes thr...
9. 2tamx-cot+/=0 ⇒2tanx-1/(tan)=0 =22tan^2x+tan*-1=0 ⇒2tan^2x+2tanx-tanx-1=0 =(tanx+1)(2tan+)=0 =ye_2the_1tanx+1=or 2tamr-1=0 = tan=1 or, t tanx=1/2 =)tunx=(二)or, tanx=tana wheretana=1/2 ⇒x=nn+1(-λ)/4 )or,2mnta,where t tan∂=1/2...
解析 2(a) (auxequationm-3=0⇒ complementary function is A(3)" Consider a trial solution of the form u=k(2") so 2k(2^n)=3k(2^n)+2^n k=-1 General solution is u_n=A(3)^n-2^(n^n (b) u_1=u_2⇒3A-2=9A-4= . u_n=3^(n-1)-2^n ...
【题目】a Find the general solution to the differentialequation (|y|)/(|x|x)=(e^(2x-y))/y .Given that the curve passesthrough the point (0,1).b Find the particular solution in the form a= f(y). 相关知识点: 试题来源:
Find the general solution to the equation: \frac{dx}{dt}=-7x. Use C for any arbitrary constant. If y(x) = c_1e^{3x} + c_2e^{-5x} is the general solution of the equation y''+2y'+ky=0, where k is the constant, then find k. ...
View Solution Questions & AnswersLinear Algebra (a) Find the general solution to the following differential... Question Answered step-by-step Asked by Unknown_U (a) Find the general solution to the following differential equation: y′′ − y = 5e 2x (b) Find the gen...
Alevel微积分数学题请求老师同学解答/1,Find the general solution of the equationdy/dx=tanxcotydy/dx=y(y-1)/x (1,2)dy/dx=cotxcoty (30°,0)2,Obtain the general solution of the differential equationydytan2x/dx=1-y23,Find the solution of the differential equation dy/dx=sin2x/y2 which ...
Find the general solution to: a)y(2)+y=cot(x) b)y(2)+y=sec(x) Solving Second-Order Differential Equation: The second-order non-homogenous differential equation has the form ofay″+by′+cy=g(x). The variation of parameters is a method that is used to...